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                Mirror operated in collaboration with local support

                High Energy Physics - Theory

                New submissions

                [ total of 41 entries: 1-41 ]
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                New submissions for Mon, 25 May 20

                [1]  arXiv:2005.10833 [pdf, other]
                Title: Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories
                Comments: 41 pages, 1 figure
                Subjects: High Energy Physics - Theory (hep-th)

                We study the entropy associated with the Janus interface in a 4$d$ $\mathcal{N}=2$ superconformal field theory. With the entropy defined as the interface contribution to an entanglement entropy we show, under mild assumptions, that the Janus interface entropy is proportional to the geometric quantity called Calabi's diastasis on the space of $\mathcal{N}=2$ marginal couplings, confirming an earlier conjecture by two of the authors and generalizing a similar result in two dimensions. Our method is based on a CFT consideration that makes use of the Casini-Huerta-Myers conformal map from the flat space to the round sphere.

                [2]  arXiv:2005.10834 [pdf, other]
                Title: BPS Skyrme neutron stars in generalized gravity
                Comments: LaTex, 27 pages, 13 figures
                Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Nuclear Theory (nucl-th)

                We study the coupling of nuclear matter described by the BPS Skyrme model to generalized gravity. Concretely, we consider the Starobinsky model which provides the leading-order correction to the Einstein-Hilbert action. Static solutions describing neutron stars are found both for the full field theory and for the mean-field approximation. We always consider the full Starobinsky model in the nonperturbative approach, using appropriately generalized shooting methods for the numerical neutron star calculations. Many of our results are similar to previous investigations of neutron stars for the Starobinsky model using other models of nuclear matter, but there are some surprizing discrepancies. The "Newtonian mass" relevant for the surface redshift, e.g., results larger than the ADM mass in our model, in contrast to other investigations. This difference is related to the particularly high stiffness of nuclear matter described by the BPS Skyrme model and offers an interesting possibility to distinguish different models of nuclear matter within generalized gravity.

                [3]  arXiv:2005.10837 [pdf, other]
                Title: Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
                Comments: 90 pages, 4 figures
                Subjects: High Energy Physics - Theory (hep-th)

                We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories. We argue that certain contributions to the elliptic genus are given by derivatives of modular or quasi-modular forms, which encode BPS invariants of Calabi-Yau or non-Calabi-Yau threefolds that are embedded in the given fourfold. As a result, the elliptic genus is only a quasi-Jacobi form, rather than a modular or quasi-modular one in the usual sense. This manifests itself as a holomorphic anomaly of the spectral flow symmetry, and in an elliptic holomorphic anomaly equation that maps between different flux sectors. We support our general considerations by a detailed study of examples, including non-critical strings in four dimensions. For the critical heterotic string, we explain how anomaly cancellation is restored due to the properties of the derivative sector. Essentially, while the modular sector of the elliptic genus takes care of anomaly cancellation involving the universal B-field, the quasi-Jacobi one accounts for additional B-fields that can be present. Thus once again, diverse mathematical ingredients, namely here the algebraic geometry of fourfolds, relative Gromow-Witten theory pertaining to flux backgrounds, and the modular properties of (quasi-)Jacobi forms, conspire in an intriguing manner precisely as required by stringy consistency.

                [4]  arXiv:2005.10841 [pdf, other]
                Title: TripleK: A Mathematica package for evaluating triple-K integrals and conformal correlation functions
                Authors: Adam Bzowski
                Comments: 21 pages
                Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech)

                I present a Mathematica package designed for manipulations and evaluations of triple-K integrals and conformal correlation functions in momentum space. Additionally, the program provides tools for evaluation of a large class of 2- and 3-point massless multi-loop Feynman integrals with generalized propagators. The package is accompanied by five Mathematica notebooks containing detailed calculations of numerous conformal 3-point functions in momentum space.

                [5]  arXiv:2005.10843 [pdf, other]
                Title: The growth of the $\frac{1}{16}$-BPS index in 4d $\mathcal{N}=4$ SYM
                Authors: Sameer Murthy
                Comments: 18 pages, 4 figures, 2 tables
                Subjects: High Energy Physics - Theory (hep-th)

                We study the Hamiltonian index of $\frac{1}{16}$-BPS operators in 4d $\mathcal{N}=4$ U(N) super Yang-Mills (SYM) theory numerically for $N=2\,,\dots,10$. We show that the large-charge asymptotics agree with analytic results in the Cardy-like limit, as consistent with the entropy of supersymmetric black hole in the dual AdS. The numerics also agree with the large-N analytic result, thus providing hints towards an exact formula for the index. We then prove, using ideas from representation theory, that for values of charges (quantized in integer units) less than 2(N+1) the index agrees precisely with the multi-graviton index, and then begins to deviate for larger charges. Thus the U(N) SYM index interpolates between multi-graviton values at small charge and black hole growth at large charges.

                [6]  arXiv:2005.10845 [pdf, ps, other]
                Title: Notes on two-dimensional pure supersymmetric gauge theories
                Authors: W. Gu, E. Sharpe, H. Zou
                Comments: LaTeX, 49 pages, 1 figure
                Subjects: High Energy Physics - Theory (hep-th)

                In this note we study IR limits of pure two-dimensional supersymmetric gauge theories with semisimple non-simply-connected gauge groups including SU(k)/Z_k, SO(2k)/Z_2, Sp(2k)/Z_2, E_6/Z_3, and E_7/Z_2 for various discrete theta angles, both directly in the gauge theory and also in nonabelian mirrors, extending a classification begun in previous work. We find in each case that there are supersymmetric vacua for precisely one value of the discrete theta angle, and no supersymmetric vacua for other values, hence supersymmetry is broken in the IR for most discrete theta angles. Furthermore, for the one distinguished value of the discrete theta angle for which supersymmetry is unbroken, the theory has as many twisted chiral multiplet degrees of freedom in the IR as the rank. We take this opportunity to further develop the technology of nonabelian mirrors to discuss how the mirror to a G gauge theory differs from the mirror to a G/K gauge theory for K a subgroup of the center of G. In particular, the discrete theta angles in these cases are considerably more intricate than those of the pure gauge theories studied in previous papers, so we discuss the realization of these more complex discrete theta angles in the mirror construction. We find that discrete theta angles, both in the original gauge theory and their mirrors, are intimately related to the descriptions of centers of universal covering groups as quotients of weight lattices by root sublattices. We perform numerous consistency checks, comparing results against basic group-theoretic relations as well as with decomposition, which describes how two-dimensional theories with one-form symmetries (such as pure gauge theories with nontrivial centers) decompose into disjoint unions, in this case of pure gauge theories with quotiented gauge groups and discrete theta angles

                [7]  arXiv:2005.10854 [pdf, other]
                Title: The Rise of Cosmological Complexity: Saturation of Growth and Chaos
                Comments: 19 pages, 9 figures
                Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph)

                We compute the circuit complexity of scalar curvature perturbations on FLRW cosmological backgrounds with fixed equation of state $w$ using the language of squeezed vacuum states. Backgrounds that are accelerating and expanding, or decelerating and contracting, exhibit features consistent with chaotic behavior, including linearly growing complexity. Remarkably, we uncover a bound on the growth of complexity for both expanding and contracting backgrounds $\lambda \leq \sqrt{2} \ |H|$, similar to other bounds proposed independently in the literature. The bound is saturated for expanding backgrounds with an equation of state more negative than $w = -5/3$, and for contracting backgrounds with an equation of state larger than $w = 1$. For expanding backgrounds that preserve the null energy condition, de Sitter space has the largest rate of growth of complexity (identified as the Lyapunov exponent), and we find a scrambling time that is similar to other estimates up to order one factors.

                [8]  arXiv:2005.10869 [pdf, ps, other]
                Title: Spinning black holes for generalized scalar tensor theories in three dimensions
                Comments: 8 pages
                Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)

                We consider a general class of scalar tensor theories in three dimensions whose action contains up to second-order derivatives of the scalar field with coupling functions that only depend on the standard kinetic term of the scalar field, thus ensuring the invariance under the constant shift of the scalar field. For this model, we show that the field equations for a stationary metric ansatz together with a purely radial scalar field can be fully integrated. The kinetic term of the scalar field solution is shown to satisfy an algebraic relation depending only on the coupling functions, and hence is constant while the metric solution is nothing but the BTZ metric with an effective cosmological constant fixed in terms of the coupling functions. As a direct consequence the thermodynamics of the solution is shown to be identical to the BTZ one with an effective cosmological constant, despite the presence of a scalar field. Finally, the expression of the semi-classical entropy of this solution is also confirmed through a generalized Cardy-like formula involving the mass of the scalar soliton obtained from the black hole by means of a double Wick rotation.

                [9]  arXiv:2005.10875 [pdf, other]
                Title: Field theoretic derivation of bubble wall force
                Comments: 64 pages (32 pages main text + 32 pages appendix and references), 15 figures
                Subjects: High Energy Physics - Theory (hep-th); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Phenomenology (hep-ph)

                We derive a general quantum field theoretic formula for the force acting on the expanding bubbles of a first order phase transition in the early Universe setting. In the thermodynamic limit the force is proportional to the entropy increase across the bubble of active species that exert a force on the bubble interface. When local thermal equilibrium is attained, the force grows as the Lorentz factor squared, such that the bubbles cannot run away. We apply our formalism to a massive real scalar field, the standard model and its simple portal extension. Next, we compare with the existing literature. In particular we discuss the differences and similarities of our work with that of B\"odeker and Moore [arXiv:0903.4099]. We find that a bubble can run away if scatterings are negligible across the wall (ballistic limit), but it always attains a finite Lorentz factor if scatterings are efficient across the bubble. For completeness, we also present a derivation of the renormalized, one-loop, thermal energy-momentum tensor for the standard model and demonstrate its gauge independence.

                [10]  arXiv:2005.10900 [pdf, ps, other]
                Title: Masslesslike minimal subtraction for massive scalar field theory
                Authors: Marcelo M. Leite
                Comments: 5 pages, no figures
                Subjects: High Energy Physics - Theory (hep-th)

                We introduce the simplest minimal subtraction method for massive $\lambda \phi^{4}$ field theory with $O(N)$ internal symmetry, which resembles the same method applied to massless fields by using two steps. First, the utilization of the partial-$p$ operation in every diagram of the two-point vertex part in order to separate it into a sum of squared mass and external momentum, respectively, with different coefficients. Then, the loop integral which is the coefficient of the quadratic mass can be solved entirely in terms of the mass, no longer depending upon the external momentum, using the {\it parametric dissociation transform}. It consists in the choice of a certain set of fixed values of Feynman parameters replaced inside the remaining loop integral after solving the internal subdiagrams. We check the results in the diagrammatic computation of critical exponents at least up to two-loop order using a flat metric with Euclidean signature.

                [11]  arXiv:2005.10983 [pdf, ps, other]
                Title: Rotating black hole with a probe string in Horndeski Gravity
                Authors: F. F. Santos
                Comments: 12 pages, 4 figures
                Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)

                In this work, we present the effect of a probe string on Horndeski's gravity on the complexity of the black hole according to the CA conjecture (Complexity equals action). In our system we consider a rotating black hole in ($2+1$)-spacetime. We consider the effect of the string moving in this spacetime geometry of the black hole BTZ. Thus, for the double description, we have the insertion of a fundamental string in the bulk of spacetime. The effect of this string is given by the Nambu-Goto term. Analyzing the term Nambu-Goto, we can analyze the time of development of this system according to the parameters of Horndeski's gravity. In ours we show some interesting properties of complexity for this severity.

                [12]  arXiv:2005.11006 [pdf, other]
                Title: Weights and recursion relations for $φ^p$ tree amplitudes from the positive geometry
                Authors: Ryota Kojima
                Comments: 38 pages, 5 figures
                Subjects: High Energy Physics - Theory (hep-th)

                Recently, the accordiohedron in kinematic space is proposed as the positive geometry for planar tree-level scattering amplitudes in the $\phi^p$ theory in \cite{Raman:2019utu}. The scattering amplitudes are given as a sum over canonical forms of some accordiohedra with appropriate weights. These weights are determined from the condition that when summed over all canonical forms, the residue of each pole is unit. Once we choose these weights from this condition, the sum of canonical forms corresponds to the scattering amplitude. This condition relied on the form of scattering amplitudes. In this paper, we show that these weights are completely determined by the factorization property of the accordiohedron. This means that the geometry of the accordiohedron is enough to determine these weights. We can also see that the above condition can be interpreted as one of the conditions which are obtained from the factorization. In addition to this, we study one-parameter recursion relations for the $\phi^p$ amplitudes. The one-parameter "BCFW"-like recursion relation for the $\phi^3$ amplitudes was obtained from the triangulation of the ABHY-associahedron \cite{Arkani-Hamed:2017tmz}. After this, a new recursion relation was proposed from the projecting triangulation of the generalized ABHY-associahedron in \cite{Arkani-Hamed:2019vag, Yang:2019esm}. We generalize these one-parameter recursion relations to the $\phi^p$ amplitudes and interpret as triangulations of the accordiohedra. We show that the BCFW-like recursion of the $\phi^p$ amplitude can be interpreted as the inside triangulation of the accordiohedra. By using the general formula of the triangulation, we obtain an all-multiplicity result for the $\phi^p$ amplitude. We also apply the new recursion relation to the $\phi^p$ amplitudes.

                [13]  arXiv:2005.11240 [pdf, other]
                Title: AdS black holes and finite N indices
                Comments: 19 pages, 8 figures
                Subjects: High Energy Physics - Theory (hep-th)

                We study the index of 4d $\mathcal{N}=4$ Yang-Mills theory with $U(N)$ gauge group, focussing on the physics of the dual BPS black holes in $AdS_5\times S^5$. Certain aspects of these black holes can be studied from finite $N$ indices with reasonably large $N^2$. We make numerical studies of the index for $N\leq 6$, by expanding it up to reasonably high orders in the fugacity. The entropy of the index agrees very well with the Bekenstein-Hawking entropy of the dual black holes, say at $N^2=25$ or $36$. Our data clarifies and supports the recent ideas which allowed analytic studies of these black holes from the index, such as the complex saddle points of the Legendre transformation and the oscillating signs in the index. In particular, the complex saddle points naturally explain the $\frac{1}{N}$-subleading oscillating patterns of the index. We also illustrate the universality of our ideas by studying a model given by the inverse of the MacMahon function.

                [14]  arXiv:2005.11241 [pdf, ps, other]
                Title: Generic anisotropic Lifshitz scalar field theory: masslesslike massive minimal subtraction
                Authors: Marcelo M. Leite
                Comments: 6 pages, no figures
                Subjects: High Energy Physics - Theory (hep-th)

                We formulate the simplest minimal subtraction version for massive $\lambda \phi^4$ scalar fields with $O(N)$ symmetry for generic anisotropic Lifshitz space-times. An appropriate partial$-p$ operation is applied in the bare two-point vertex function diagrams, which separates the original diagram into a sum of two different integrals which are the coefficients of the corresponding polynomials in the mass and external momentum. Within the proposed method, the coefficient of the mass terms can be discarded and we obtain a minimal subtraction method almost identical to the same scheme in the massless theory in {\it every external momentum/mass subspace}. We restrict our demonstration of the method up to three-loop order in the two-point vertex part. We verify the consistency of our method by a diagrammatic computation of static critical exponents, which validates the universality hypothesis.

                [15]  arXiv:2005.11266 [pdf, other]
                Title: On the Hydrodynamics of Unstable Excitations
                Comments: 36 pages, 32 figures, 2 tables
                Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech)

                The generalized hydrodynamic (GHD) approach has been extremely successful in describing the out-of-equilibrium properties of a great variety of integrable many-body quantum systems. It naturally extracts the large-scale dynamical degrees of freedom of the system, and is thus a particularly good probe for emergent phenomena. One such phenomenon is the presence of unstable particles, traditionally seen via special analytic structures of the scattering matrix. Because of their finite lifetime and energy threshold, these are especially hard to study. In this paper we apply the GHD approach to a model possessing both unstable excitations and quantum integrability. The largest family of relativistic integrable quantum field theories known to have these features are the homogeneous sine-Gordon models. We consider the simplest non-trivial example of such theories and investigate the effect of an unstable excitation on various physical quantities, both at equilibrium and in the non-equilibrium state arising from the partitioning protocol. The hydrodynamic approach sheds new light onto the physics of the unstable particle, going much beyond its definition via the analytic structure of the scattering matrix, and clarifies its effects both on the equilibrium and out-of-equilibrium properties of the theory. Crucially, within this dynamical perspective, we identify unstable particles as finitely-lived bound states of co-propagating stable particles of different types, and observe how stable populations of unstable particles emerge in large-temperature thermal baths.

                [16]  arXiv:2005.11272 [pdf, ps, other]
                Title: T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in $α'$
                Comments: LaTeX2e paper, 34 pages, no figures
                Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)

                We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter $\alpha'$ and re-derive the $\alpha'$-corrected Buscher rules first found in arXiv:hep-th/9506156 , proving the T duality invariance of the dimensionally-reduced action to that order in $\alpha'$. We use Iyer and Wald's prescription to derive an entropy formula that can be applied to black-hole solutions which can be obtained by a single non-trivial compactification on a circle and discuss its invariance under the $\alpha'$-corrected T duality transformations. This formula has been successfully applied to $\alpha'$-corrected 4-dimensional non-extremal Reissner-Nordstr\"om black holes in arXiv:1910.14324 and we apply it here to a heterotic version of the Strominger-Vafa 5-dimensional extremal black hole.

                [17]  arXiv:2005.11301 [pdf, ps, other]
                Title: Analytic SU(N) Skyrmions at finite Baryon density
                Comments: 36 pages, REVTeX
                Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)

                We construct analytic (3+1)-dimensional Skyrmions living at finite Baryon density in the SU(N) Skyrme model that are not trivial embeddings of SU(2) into SU(N). We used Euler angles decomposition for arbitrary N and the generalized hedgehog Ansatz at finite Baryon density. The Skyrmions of high topological charge that we find represent smooth Baryonic layers whose properties can be computed explicitly. In particular, we determine the energy to Baryon charge ratio for any N showing the smoothness of the large N limit. The closeness to the BPS bound of these configurations can also be analyzed. The energy density profiles of these finite density Skyrmions have \textit{lasagna-like} shape in agreement with recent experimental findings. The shear modulus can be precisely estimated as well and our analytical result is close to recent numerical studies in the literature.

                [18]  arXiv:2005.11314 [pdf, other]
                Title: Boundary RG Flows for Fermions and the Mod 2 Anomaly
                Comments: 47 pages
                Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el)

                Boundary conditions for Majorana fermions in d=1+1 dimensions fall into one of two SPT phases, associated to a mod 2 anomaly. Here we consider boundary conditions for 2N Majorana fermions that preserve a $U(1)^N$ symmetry. In general, the left-moving and right-moving fermions carry different charges under this symmetry, and implementation of the boundary condition requires new degrees of freedom, which manifest themselves in a boundary central charge, $g$.
                We follow the boundary RG flow induced by turning on relevant boundary operators. We identify the infra-red boundary state. In many cases, the boundary state flips SPT class, resulting in an emergent Majorana mode needed to cancel the anomaly. We show that the ratio of UV and IR boundary central charges is given by $g^2_{IR} / g^2_{UV} = {\rm dim}\,({\cal O})$, the dimension of the perturbing boundary operator. Any relevant operator necessarily has ${\rm dim}({\cal O}) < 1$, ensuring that the central charge decreases in accord with the g-theorem.

                Cross-lists for Mon, 25 May 20

                [19]  arXiv:2005.10826 (cross-list from cond-mat.str-el) [pdf, other]
                Title: An Effective Field Theory for Fractional Quantum Hall Systems near $ν=5/2$
                Comments: 64 pages, 9 figures, 5 tables. Many appendices
                Subjects: Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th)

                We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction $\nu=5/2$ that flows to pertinent IR candidate phases, including non-abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states (Pf, APf, and PHPf). Our EFT has a 2+1$d$ O(2)$_{2,L}$ Chern-Simons gauge theory coupled to four Majorana fermions by a discrete charge conjugation gauge field, with Gross-Neveu-Yukawa-Higgs terms. Including deformations via a Higgs condensate and a fermion mass term, we can map out a phase diagram with tunable parameters, reproducing the prediction of the recently-proposed percolation picture and its phase transitions. Our EFT captures known features of both gapless and gapped sectors of time-reversal-breaking domain walls between Pf and APf phases. Moreover, we find that Pf$\mid$APf domain walls have higher tension than domain walls in the PHPf phase. Then the former, if formed, may transition to the energetically-favored PHPf domain walls; this could, in turn, help further induce a bulk transition to PHPf.

                [20]  arXiv:2005.10844 (cross-list from gr-qc) [pdf, other]
                Title: Limiting extrinsic curvature theory and stable non-singular anisotropic universe
                Comments: 19 pages, 2 figures
                Subjects: General Relativity and Quantum Cosmology (gr-qc); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Theory (hep-th)

                We propose a class of theories that can limit scalars constructed from the extrinsic curvature. Applied to cosmology, this framework allows us to control not only the Hubble parameter but also anisotropies without the problem of Ostrogradsky ghost, which is in sharp contrast to the case of limiting spacetime curvature scalars. Our theory can be viewed as a generalization of mimetic and cuscuton theories (thus clarifying their relation), which are known to possess a structure that limits only the Hubble parameter on homogeneous and isotropic backgrounds. As an application of our framework, we construct a model where both anisotropies and the Hubble parameter are kept finite at any stage in the evolution of the universe in the diagonal Bianchi type I setup. The universe starts from a constant-anisotropy phase and recovers Einstein gravity at low energies. We also show that the cosmological solution is stable against essentially all modes of perturbation, provided some reasonable conditions are satisfied.

                [21]  arXiv:2005.11069 (cross-list from astro-ph.CO) [pdf, other]
                Title: Non-minimally coupled curvaton
                Comments: 45 pages, 4 figures
                Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

                We investigate two-field inflationary models in which scalar cosmological pertubations are generated via a spectator field nonminimally coupled to gravity, with the particular emphasis on curvaton scenarios. The principal advantage of these models is in the possibility to tune the spectator spectral index via the nonminimal coupling. Our models naturally yield red spectrum of the adiabatic perturbation demanded by observations. We study how the nonminimal coupling affects the spectrum of the curvature perturbation generated in the curvaton scenarios. In particular we find that for small, negative nonminimal couplings the spectral index gets a contribution that is negative and linear in the nonminimal coupling. Since in this way the curvature spectrum becomes redder, some of curvaton scenarios can be saved, which would otherwise be ruled out. In the power law inflation we find that a large nonminimal coupling is excluded since it gives the principal slow roll parameter that is of the order of unity. Finally, we point out that nonminimal coupling can affect the postinflationary growth of the spectator perturbation, and in this way the effectiveness of the curvaton mechanism.

                [22]  arXiv:2005.11073 (cross-list from hep-lat) [pdf, ps, other]
                Title: Dual formulations of Polyakov loop lattice models
                Comments: 37 pages, 1 figure
                Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

                Dual representations are constructed for non-abelian lattice spin models with U(N) and SU(N) symmetry groups, for all N and in any dimension. These models are usually related to the effective models describing the interaction between Polyakov loops in the strong coupled QCD. The original spin degrees of freedom are explicitly integrated out and a dual theory appears to be a local theory for the dual integer-valued variables. The construction is performed for the partition function and for the most general correlation function. The latter include the two-point function corresponding to quark-anti-quark free energy and the N-point function related to the free energy of a baryon. We consider both pure gauge models and models with static fermion determinant for both the staggered and Wilson fermions with an arbitrary number of flavours. While the Boltzmann weights of such models are complex in the presence of non-zero chemical potential the dual Boltzmann weights appear to be strictly positive on admissible configurations. An essential part of this work with respect to previous studies is an extension of the dual representation to the case of 1) an arbitrary value of the temporal coupling constant in the Wilson action and 2) an arbitrary number of flavours of static quark determinants. The applications and extensions of the results are discussed in detail. In particular, we outline a possible approach to Monte-Carlo simulations of the dual theory, to the large N expansion and to the development of a tensor renormalization group.

                [23]  arXiv:2005.11090 (cross-list from gr-qc) [pdf, ps, other]
                Title: Super-Penrose process for extremal charged white holes
                Authors: O. B. Zaslavskii
                Comments: 11 pages
                Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics - Theory (hep-th)

                We consider collision of two particles 1 and 2 near the horizon of the extremal Reissner-Nordstr\"{o}m (RN) black hole that produce two other particles 3 and 4. There exists such a scenario that both new particles fall in a black hole. One of them emerges from the white hole horizon in the asymptotically flat region, the other one oscillates between turning points. However, the unbounded energies $E$ at infinity (super-Penrose process - SPP) turn out to be impossible for any finite angular momenta $L_{3.4}$. In this sense, the situation for such a white hole scenarios is opposite to the black hole ones, where the SPP is found earlier to be possible for the RN metric even for all $L_{i}=0$. However, if $L_{3,4}$ themselves are unbounded, the SPP does exist for white holes.

                [24]  arXiv:2005.11099 (cross-list from astro-ph.CO) [pdf, other]
                Title: Cosmic Rays and Spectral Distortions from Collapsing Textures
                Authors: Robert Brandenberger, Bryce Cyr, Hao Jiao (McGill University and USTC)
                Comments: 7 pages
                Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)

                We compute the energy spectrum of photons produced by the unwinding of a scaling distribution of cosmic textures, and discuss the implications for the spectrum of high energy cosmic rays, and for CMB spectral distortions. Textures lead to a contribution to the photon flux which scales as $E^3 F(E) \sim E^{3/2}$. Hence, the tightest constraints on the texture model come from the highest energies from which primordial photons can reach us without being scattered by the CMB and other foregrounds. Textures lead to both $\mu$ type and $y$ type distortions. While the constraints on the texture model coming from the current COBE bounds are weaker than the bounds from the angular power spectrum of the CMB, future surveys such as PIXIE can lead to stronger bounds.

                [25]  arXiv:2005.11163 (cross-list from gr-qc) [pdf, ps, other]
                Title: Redshift Drift in $f(R,T)$ Gravity
                Comments: To appear in New Astronomy
                Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

                Redshift drift refers to the phenomena that redshift of cosmic objects is a function of time. Measurement of redshift drift is of fundamental importance in physical cosmology and can be utilized to distinguish different cosmological models. Redshift drift can be expressed in two distinct methods. The first method is related to cosmography, where the Redshift drift is given as a series expansion of cosmological parameters, while the second method is written as a function of Hubble parameter and its time derivatives which ultimately involve field equations of a chosen theory of gravity. By equating corresponding terms from both the series, the model parameter(s) of any modified theory of gravity can be constrained. The present note aims at constraining the model parameter $\zeta$ of $f(R,T)$ gravity theory where $f(R,T)= R + \zeta T$. By equating linear terms in redshift $z$ from both the series, we constrain $\zeta$ in the range $-0.51 \kappa^{2} \lesssim \zeta \lesssim -0.47 \kappa^{2}$, where $\kappa^{2}=\frac{8 \pi G}{c^{4}}$.

                [26]  arXiv:2005.11179 (cross-list from gr-qc) [pdf, other]
                Title: Quasinormal modes and their anomalous behavior for black holes in $f(R)$ gravity
                Comments: 22 pages, 15 figures. arXiv admin note: substantial text overlap with arXiv:2004.09386
                Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

                We study the propagation of scalar fields in the background of an asymptotically de-Sitter black hole solution in $f(R)$ gravity, with the aim of analyzing the existence of an anomalous behavior in the quasinormal modes (QNMs) spectrum in alternatives theories of gravity and to study the stability of the scalar field propagation. We study the QNMs for various overtone numbers of different branches that they depend on a parameter $\beta$ which appears in the metric and characterizes the $f(R)$ gravity. For small deviations from the Schwarzschild-dS black hole the anomalous behavior in the QNMs is present, and the critical value of the mass of the scalar field depends on the parameter $\beta$ while for large deviations the anomalous behavior does not appear. Also, the critical mass of the scalar field increases when the overtone number increases until the $f(R)$ gravity parameter $\beta$ approaches the near extremal limit at which the critical mass of the scalar field does not depend anymore on the overtone number. Also, we find that the imaginary part of the quasinormal frequencies is always negative for all branches leading to a stable propagation of the scalar fields in this background.

                [27]  arXiv:2005.11224 (cross-list from math-ph) [pdf, ps, other]
                Title: Scalar products of Bethe vectors in the 8-vertex model
                Comments: 57 pages
                Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

                We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz approach. Our method is to obtain a system of linear equations for the scalar products, prove its solvability and solve it in terms of determinants of explicitly known matrices.

                Replacements for Mon, 25 May 20

                [28]  arXiv:1905.11265 (replaced) [pdf, other]
                Title: A Hairy Box in Three Dimensions
                Comments: v2: minor improvements
                Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
                [29]  arXiv:1906.02052 (replaced) [pdf, other]
                Title: Time evolution of the complexity in chaotic systems: concrete examples
                Comments: published version
                Journal-ref: JHEP 05 (2020) 045
                Subjects: High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
                [30]  arXiv:1911.03841 (replaced) [pdf, ps, other]
                Title: Quantum Correction of the Wilson Line and Entanglement Entropy in the Pure AdS$_3$ Einstein Gravity Theory
                Comments: 17 pages, minor changes
                Subjects: High Energy Physics - Theory (hep-th)
                [31]  arXiv:1912.00904 (replaced) [pdf, other]
                Title: Entropic Locking Of Action Complexity At Cosmological Singularities
                Comments: 24 pages, 6 figures. Revised version: minor changes in the conclusions. Published version
                Subjects: High Energy Physics - Theory (hep-th)
                [32]  arXiv:2002.12458 (replaced) [pdf, other]
                Title: Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories
                Comments: 31 pages, 4 included figures. Updated to agree with published version, minor typos corrected
                Journal-ref: Phys. Rev. D 101, 075013 (2020)
                Subjects: High Energy Physics - Phenomenology (hep-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
                [33]  arXiv:2003.08948 (replaced) [pdf, other]
                Title: Dynamically assisted Schwinger mechanism and chirality production in parallel electromagnetic field
                Authors: Hidetoshi Taya
                Comments: 17 pages, 5 figures; v2: references updated, typos corrected, to be published in PRR
                Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); Nuclear Theory (nucl-th); Plasma Physics (physics.plasm-ph); Quantum Physics (quant-ph)
                [34]  arXiv:2003.11073 (replaced) [pdf, other]
                Title: Weak-ergodicity-breaking via lattice supersymmetry
                Comments: 8 pages, 4 figures
                Subjects: Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
                [35]  arXiv:2003.14316 (replaced) [pdf, other]
                Title: Beurling-Selberg Extremization and Modular Bootstrap at High Energies
                Comments: 28 pages, 3 figures; section on Virasoro primaries is added, typos fixed
                Subjects: High Energy Physics - Theory (hep-th)
                [36]  arXiv:2004.08372 (replaced) [pdf, other]
                Title: Holographic Naturalness
                Authors: Andrea Addazi
                Comments: Few english typos fixed, few comments rephrased, main results remain unchanged
                Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
                [37]  arXiv:2005.02117 (replaced) [pdf, other]
                Title: Solving holographic defects
                Comments: 35 pages, 3 figures; contribution to the proceedings of the 2019 Corfu Summer Institute, "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019), 31 August - 25 September 2019; references added
                Journal-ref: PoS (CORFU2019) 141
                Subjects: High Energy Physics - Theory (hep-th)
                [38]  arXiv:2005.07449 (replaced) [pdf, ps, other]
                Title: Odd Connections on Supermanifolds
                Comments: 17 pages including one Appendix. The introduction has been extended and further references added. Additional clarifying marks have been included
                Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)
                [39]  arXiv:2005.07524 (replaced) [pdf, ps, other]
                Title: Scalar quasinormal modes of black holes in Einstein-Yang-Mills gravity
                Comments: v1: 10 pages, 7 figures, 2 tables; v2: clarifications added and typos corrected
                Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
                [40]  arXiv:2005.09105 (replaced) [pdf, other]
                Title: Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions
                Authors: Jiaxin Qiao
                Comments: v1:50+23 pages, 14 figures, 16 tables v2:a few typos corrected, figure 5,7,9,10 improved, bibliography improved
                Subjects: High Energy Physics - Theory (hep-th)
                [41]  arXiv:2005.09705 (replaced) [pdf, other]
                Title: Mass Inflation in a Non-Extreme Rotating BTZ Black Hole
                Comments: Typos corrected. Minor modifications in the texts. Contains a figure. 20 pages
                Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
                [ total of 41 entries: 1-41 ]
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