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Related papers: Elementary functions in Thermodynamic Bethe Ansatz

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On the basis of Bethe ansatz solution of two-component bosons with SU(2) symmetry and $\delta$-function interaction in one dimension, we study the thermodynamics of the system at finite temperature by using the strategy of thermodynamic…

Strongly Correlated Electrons · Physics 2017-08-23 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying , Xu-An Zhao

We derive traditional thermodynamic Bethe ansatz (TBA) equations for the sl(r+1) Uimin-Sutherland model from the T-system of the quantum transfer matrix. These TBA equations are identical to the ones from the string hypothesis. Next we…

Statistical Mechanics · Physics 2008-11-26 Zengo Tsuboi

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

We solve the gl(1|2) generalized model by means of the algebraic Bethe ansatz. The resulting eigenvalue of the transfer matrix and the Bethe ansatz equations depend on three complex functions, called the parameters of the generalized model.…

Statistical Mechanics · Physics 2009-11-07 Frank Göhmann

The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations…

Statistical Mechanics · Physics 2012-09-27 Kazumitsu Sakai

In two previous papers [26, 27], the exact solutions of the spin-1/2 chains with arbitrary boundary fields were constructed via the off-diagonal Bethe ansatz (ODBA). Here we introduce a method to approach the thermodynamic limit of those…

Statistical Mechanics · Physics 2015-06-18 Yuan-Yuan Li , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

The thermodynamic Bethe Ansatz equations that have been proposed to describe massive integrable deformations of the coset conformal field theories $g_k\times g_l/g_{k+l}$ are shown to result directly by applying the usual thermodynamic…

High Energy Physics - Theory · Physics 2009-10-22 T. J. Hollowood

In arXiv:2306.17553 a new supersymmetric integrable QFT was constructed from the relativistic limit of the worlsdheet theory of AdS$_3 \times$ S$^3\times $T$^4$ superstrings with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The…

High Energy Physics - Theory · Physics 2025-07-21 Xavier Kervyn , Davide Polvara , Alessandro Sfondrini

We present the thermodynamic Bethe ansatz as a way to factorize the partition function of a 2d field theory, in particular, a conformal field theory and we compare it with another approach to factorization due to K. Schoutens which consists…

High Energy Physics - Theory · Physics 2016-08-15 José Gaite

We consider the extension of the thermodynamic Bethe Ansatz (TBA) to cases in which additional terms involving higher conserved charges are added to the Hamiltonian, or in which a distinction is made between the Hamiltonian used for time…

Quantum Gases · Physics 2012-06-05 Jorn Mossel , Jean-Sébastien Caux

Motivated by the computation of scattering amplitudes at strong coupling, we consider minimal area surfaces in AdS_5 which end on a null polygonal contour at the boundary. We map the classical problem of finding the surface into an SU(4)…

High Energy Physics - Theory · Physics 2015-03-13 Luis F. Alday , Davide Gaiotto , Juan Maldacena

Two implicit periodic structures in the solution of sinh-Gordon thermodynamic Bethe ansatz equation are considered. The analytic structure of the solution as a function of complex $\theta$ is studied to some extent both analytically and…

High Energy Physics - Theory · Physics 2015-06-25 Al. Zamolodchikov

It is shown that the Bethe ansatz formulation of the easy-plane 1D Heisenberg model thermodynamics (TBA) by Takahashi and Suzuki and the subsequent analysis of the spin Drude weight, also reproduces the thermal Drude weight and…

Statistical Mechanics · Physics 2017-10-25 X. Zotos

In this note, we discuss the low and high temperature contribution of Thermodynamic Bethe Ansatz (TBA) dressed excitations in the thermodynamics and energy-magnetization relaxation within the Generalized Hydrodynamics approach in the linear…

Statistical Mechanics · Physics 2020-01-06 A. Pavlis , X. Zotos

We analyze the Thermodynamic Bethe Ansatz (TBA) for various integrable S-matrices in the context of generalized $T\bar T$ deformations. We focus on the sinh-Gordon model and its elliptic deformation in both its fermionic and bosonic…

High Energy Physics - Theory · Physics 2022-01-26 Lucía Córdova , Stefano Negro , Fidel I. Schaposnik Massolo

We formulate the thermodynamic Bethe Ansatz (TBA) equations for the closed (periodic boundary conditions) $A^{(2)}_2$ quantum spin chain in an external magnetic field, in the (noncritical) regime where the anisotropy parameter $\eta$ is…

High Energy Physics - Theory · Physics 2009-10-22 Luca Mezincescu , Rafael I. Nepomechie , P. K. Townsend , A. M. Tsvelik

Inspired by recent work by Closset, Kim and Willett, we derive a new formula for the superconformal (or supersymmetric) index of 4d N=1 theories. Such a formula is a finite sum, over the solution set of certain transcendental equations that…

High Energy Physics - Theory · Physics 2022-09-09 Francesco Benini , Elisa Milan

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

We study the Thermodynamic Bethe Ansatz (TBA) equations for pure $T\bar{T}$ perturbations of some simple integrable quantum field theories with a single bosonic or fermionic particle, in particular the massive sinh-Gordon model and its…

High Energy Physics - Theory · Physics 2022-09-14 André LeClair

We investigate the sub-leading contributions to the free energy of Bethe Ansatz solvable (continuum) models with different boundary conditions. We show that the Thermodynamic Bethe Ansatz approach is capable of providing the O(1) pieces if…

High Energy Physics - Theory · Physics 2014-11-20 B. Pozsgay