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Related papers: Thermodynamic Bethe Ansatz for planar AdS/CFT: a p…

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We evaluate the exact energy current and scaled cumulant generating function (related to the large-deviation function) in non-equilibrium steady states with energy flow, in any integrable model of relativistic quantum field theory (IQFT)…

High Energy Physics - Theory · Physics 2015-07-28 Olalla Castro-Alvaredo , Yixiong Chen , Benjamin Doyon , Marianne Hoogeveen

This paper is a continuation of our previous work (solv-int/9903001). We obtain two more functional relations for the eigenvalues of the transfer matrices for the $sl(3)$ chiral Potts model at $q^2=-1$. This model, up to a modification of…

solv-int · Physics 2009-10-31 H. E. Boos , V. V. Mangazeev

We study the ultraviolet asymptotics in $A_n$ affine Toda theories with integrable boundary actions. The reflection amplitudes of non-affine Toda theories in the presence of conformal boundary actions have been obtained from the quantum…

High Energy Physics - Theory · Physics 2009-11-07 Changrim Ahn , Chanju Kim , Chaiho Rim

Using the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/CFT2, we propose a new set of all-loop Bethe equations for the system. These equations differ from the ones previously found in the literature by the choice of relative…

High Energy Physics - Theory · Physics 2015-06-12 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini

For the exactly solved reduced BCS model an electrostatic analogy exists; in particular it served to obtain the exact thermodynamic limit of the model from the Richardson Bethe ansatz equations. We present an electrostatic analogy for a…

Strongly Correlated Electrons · Physics 2014-10-13 L. Amico , A. Di Lorenzo , A. Mastellone , A. Osterloh , R. Raimondi

We provide a description of the quantum integrable structure behind the Thermodynamic Bethe Ansatz (TBA)-like equation derived by Nekrasov and Shatashvili (NS) for $\mathcal{N}=2$ 4d Super Yang-Mills (SYM) theories. In this regime of the…

High Energy Physics - Theory · Physics 2018-09-26 Jean-Emile Bourgine , Davide Fioravanti

New numerical method to calculate thermodynmic Bethe ansatz equations is proposed based on Newton's method. Thermodynamic quantities of one-dimensional Hubbard model is numerically calculated and compared with high temperature expansion and…

Strongly Correlated Electrons · Physics 2007-05-23 Minoru Takahashi , Masahiro Shiroishi

Motivated by the recent progress on the holographic dual of the extended thermodynamics for black holes in anti-de-Sitter (AdS) space, we investiggate the hologrphic thermodynamics for the five-dimensional neutral Gauss-Bonnet AdS black…

High Energy Physics - Theory · Physics 2025-04-23 Si-Jiang Yang , Md Sabir Ali , Shao-Wen Wei , Yu-Xiao Liu

The traditional thermodynamic Bethe ansatz (TBA) equations for the XXZ model at $|\Delta|\ge 1$ are derived within the quantum transfer matrix (QTM) method. This provides further evidence of the equivalence of both methods. Most…

Statistical Mechanics · Physics 2007-05-23 Minoru Takahashi , Masahiro Shiroishi , Andreas Klumper

The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the nearest neighbor and…

Statistical Mechanics · Physics 2015-03-17 Minoru Takahashi

We compute the full dimension of Konishi operator in planar N=4 SYM theory it for a wide range of couplings, from weak to strong coupling regime, and predict the subleading terms in its strong coupling asymptotics. For this purpose we solve…

High Energy Physics - Theory · Physics 2014-11-20 Nikolay Gromov , Vladimir Kazakov , Pedro Vieira

We present a nested algebraic Bethe ansatz for a one dimensional open spin chain whose boundary quantum spaces are irreducible $\mathfrak{so}_{2n}$- or $\mathfrak{sp}_{2n}$-representations and the monodromy matrix satisfies the defining…

Mathematical Physics · Physics 2019-09-27 Allan Gerrard , Niall MacKay , Vidas Regelskis

We prove that the solution to a pair of nonlinear integral equations arising in the thermodynamic Bethe Ansatz can be expressed in terms of the resolvent kernel of the linear integral operator with kernel…

solv-int · Physics 2009-07-11 Craig A. Tracy , Harold Widom

We compute the exact S-matrix and give the Bethe ansatz solution for three sigma-models which arise as subsectors of string theory in AdS(5)xS(5): Landau-Lifshitz model (non-relativistic sigma-model on S(2)), Alday-Arutyunov-Frolov model…

High Energy Physics - Theory · Physics 2011-02-16 T. Klose , K. Zarembo

We study the AdS$_5$/CFT$_4$ duality where the boundary CFT is free Yang-Mills theory with gauge group SU(N). At the planar level we use the spectrum and correlation functions of the boundary theory to explicate features of the bulk theory.…

High Energy Physics - Theory · Physics 2016-11-23 Jin-Beom Bae , Euihun Joung , Shailesh Lal

All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS5/CFT4 have been proposed by Beisert and Roiban. We propose a Drinfeld twist of the AdS5/CFT4 S-matrix, together with c-number diagonal twists of the boundary…

High Energy Physics - Theory · Physics 2011-02-15 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie

String or M-theory in the background of Kerr-AdS black holes is thought to be dual to the large n limit of certain conformal field theories on a rotating sphere at finite temperature. The five dimensional black hole is associated to N=4…

High Energy Physics - Theory · Physics 2009-10-31 K. Landsteiner , E. Lopez

We propose a Thermodynamic Bethe Ansatz (TBA) for G_k x G_l / G_{k+l} conformal coset models (G any simply-laced Lie algebra) perturbed by their operator \phi_{1,1,Adj}. An interesting adjacency structure appears and can be depicted in a…

High Energy Physics - Theory · Physics 2009-10-22 F. Ravanini

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the…

High Energy Physics - Theory · Physics 2009-10-31 A. Leclair , G. Mussardo

In this Letter, we study the semi-classical spectrum of integrable worldsheet $\sigma$-models using the Spectral Curve. We consider a Homogeneous Yang-Baxter deformation of the $AdS_5\times S^5$ superstring, understood as the composition of…

High Energy Physics - Theory · Physics 2024-12-11 Sibylle Driezen , Niranjan Kamath