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We derive thermodynamic Bethe ansatz equations describing the vacuum energy of the SU(2N)/Sp(N) nonlinear sigma model on a cylinder geometry. The starting points are the recently-proposed amplitudes for the scattering among the physical,…

High Energy Physics - Theory · Physics 2015-06-26 Andrei Babichenko , Roberto Tateo

We prove a useful identity valid for all $ADE$ minimal S-matrices, that clarifies the transformation of the relative thermodynamic Bethe Ansatz (TBA) from its standard form into the universal one proposed by Al.B.Zamolodchikov. By…

High Energy Physics - Theory · Physics 2009-10-22 F. Ravanini , R. Tateo , A. Valleriani

We first study the thermodynamics of Bardeen-AdS black hole by the $T$-$r_{h}$ diagram, where T is the Hawking temperature and $r_{h}$ is the radius of event horizon. The cut-off radius which is the minimal radius of the thermodynamical…

High Energy Physics - Theory · Physics 2019-12-30 Cong Li , Chao Fang , Miao He , Jiacheng Ding , Ping Li , Jianbo Deng

We reconstruct entanglement thermodynamics by means of Hessian geometry, since this method exactly generalizes thermodynamics into much wider exponential family cases including quantum entanglement. Starting with the correct first law of…

High Energy Physics - Theory · Physics 2015-08-12 Hiroaki Matsueda

Recently the authors developed a scattering approach that allows for a complete description of the steady-state physics of quantum-impurities in and out of equilibrium. Quantum impurities are described using scattering eigenstates defined…

Strongly Correlated Electrons · Physics 2007-05-23 Pankaj Mehta , Natan Andrei

A physical system is said to satisfy a thermal area law if the mutual information between two adjacent regions in the Gibbs state is controlled by the area of their boundary. Thermal area laws have been derived for systems with bounded…

Quantum Physics · Physics 2023-08-16 Marius Lemm , Oliver Siebert

We investigate the thermodynamic equilibrium states of a rotating thin shell, i.e., a ring, in a (2+1)-dimensional spacetime with a negative cosmological constant. The inner and outer regions with respect to the shell are given by the…

High Energy Physics - Theory · Physics 2015-09-14 José P. S. Lemos , Francisco J. Lopes , Masato Minamitsuji , Jorge V. Rocha

We examine counterparts of the Reissner-Nordstrom-anti-de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface Sigma of constant negative or zero curvature. When horizons exist, the spacetimes are black holes…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Dieter R. Brill , Jorma Louko , Peter Peldan

We study a series of $N\!=\!1$ supersymmetric integrable particle theories in $d=1+1$ dimensions. These theories are represented as integrable perturbations of specific $N\!=\!1$ superconformal field theories. Starting from the conjectured…

High Energy Physics - Theory · Physics 2009-10-28 M. Moriconi , K. Schoutens

We derive the TBA system of equations from the S-matrix describing integrable massive perturbation of the coset $G_l \times G_m / G_{l+m}$ by the field $(1,1,adj)$ for all the infinite series of the simple Lie algebras $G=A,B,C,D$. In the…

High Energy Physics - Theory · Physics 2009-11-10 A. Babichenko

Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral sigma-model (with…

High Energy Physics - Theory · Physics 2009-10-31 Janos Balog , Peter Forgacs

On the basis of Bethe ansatz solution of one dimensional SU(4) Hubbard-like model, we study its thermodynamics properties by means of Yang-Yang thermodynamics Bethe ansatz. The Land\'e $g$ factor is taken into account so as to describe…

Strongly Correlated Electrons · Physics 2007-05-23 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

By using the scattering of a scalar field, we discuss the thermodynamics and overcharging problem in a 4D Gauss-Bonnet AdS black hole in both the normal phase space and extended phase space. In the normal phase space, where the cosmological…

General Relativity and Quantum Cosmology · Physics 2020-11-03 Benrong Mu , Jing Liang , Xiaobo Guo

We study the finite volume/temperature correlation functions of the (1+1)-dimensional ${\rm SU}(N)$ principal chiral sigma model in the planar limit. The exact S-matrix of the sigma model is known to simplify drastically at large $N$, and…

High Energy Physics - Theory · Physics 2015-06-03 Axel Cortés Cubero

We perform three-dimensional direct numerical simulations of surface-driven convection near the temperature of maximum density $\tilde T_{md}$. A dynamic surface boundary condition couples heat flux through the surface to the induced…

Atmospheric and Oceanic Physics · Physics 2024-05-08 Jason Olsthoorn

By imposing certain combined inversion and rotation symmetries on the rational maps for SU(2) BPS monopoles we construct geodesics in the monopole moduli space. In the moduli space approximation these geodesics describe a novel kind of…

High Energy Physics - Theory · Physics 2009-10-30 Conor Houghton , Paul Sutcliffe

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

In the Thermodynamic Bethe Ansatz approach to 2D integrable, ADE-related quantum field theories one derives a set of algebraic functional equations (a Y-system) which play a prominent role. This set of equations is mapped into the problem…

High Energy Physics - Theory · Physics 2009-10-28 F. Gliozzi , R. Tateo

The thermodynamics of vortices in the critically coupled abelian Higgs model, defined on the plane, are investigated by placing $N$ vortices in a region of the plane with periodic boundary conditions: a torus. It is noted that the moduli…

High Energy Physics - Theory · Physics 2009-10-22 P. A. Shah , N. S. Manton