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In arXiv:0908.4052, Nekrasov and Shatashvili pointed out that the N=2 instanton partition function in a special limit of the Omega-deformation parameters is characterized by certain thermodynamic Bethe ansatz (TBA) like equations. In this…

高能物理 - 理论 · 物理学 2017-02-28 Carlo Meneghelli , Gang Yang

We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic chains and field theories that includes the finite size (and zero temperature) calculations for lattice BA models. In all cases, the free energy follows by…

高能物理 - 理论 · 物理学 2019-08-15 C. Destri , H. J. de Vega

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of…

数学物理 · 物理学 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

The boundary supersymmetric sinh-Gordon model is an integrable quantum field theory in 1+1 dimensions with bulk N=1 supersymmetry, whose bulk and boundary S matrices are not diagonal. We present an exact solution of this model. In…

高能物理 - 理论 · 物理学 2009-10-31 Changrim Ahn , Rafael I. Nepomechie

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…

高能物理 - 理论 · 物理学 2009-10-31 Janos Balog , Peter Forgacs

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…

高能物理 - 理论 · 物理学 2009-10-22 F. Ravanini , R. Tateo , A. Valleriani

We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz. We set the stage by deriving the…

高能物理 - 理论 · 物理学 2016-08-03 Stijn J. van Tongeren

We consider the non-unitary Lee-Yang minimal model ${\cal M}(2,5)$ in three different finite geometries: (i) on the interval with integrable boundary conditions labelled by the Kac labels $(r,s)=(1,1),(1,2)$, (ii) on the circle with…

高能物理 - 理论 · 物理学 2017-11-15 Zoltan Bajnok , Omar el Deeb , Paul A. Pearce

We derive the ground state thermodynamic Bethe ansatz equations for the quantum deformation of the AdS_5 x S^5 mirror model, taking the deformation parameter to be a root of unity. By virtue of the deformation, the resulting equations show…

高能物理 - 理论 · 物理学 2012-10-18 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

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…

高能物理 - 理论 · 物理学 2009-10-22 T. J. Hollowood

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…

强关联电子 · 物理学 2017-08-23 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying , Xu-An Zhao

We study the thermodynamic behaviour of Inozemtsev's long-range elliptic spin chain using the Bethe ansatz equations describing the spectrum of the model in the infinite-length limit. We classify all solutions of these equations in that…

数学物理 · 物理学 2016-04-12 Rob Klabbers

We consider the critical non-unitary minimal model {\cal M}(3,5) with integrable boundaries. We analyze the patterns of zeros of the eigenvalues of the transfer matrix and then determine the spectrum of the critical theory through the…

高能物理 - 理论 · 物理学 2018-03-13 Omar El Deeb

We introduce a Monte--Carlo simulation approach to thermodynamic Bethe ansatz (TBA). We exemplify the method on one particle integrable models, which include a free boson and a free fermions systems along with the scaling Lee--Yang model…

高能物理 - 理论 · 物理学 2009-11-11 Doron Gepner

We consider superstrings on the pure-Ramond-Ramond $AdS_3\times S^3\times T^4$ background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and…

高能物理 - 理论 · 物理学 2022-04-13 Sergey Frolov , Alessandro Sfondrini

This note is a supplement to our previous papers: Mod. Phys. Lett. A14 (1999) 2427 (math-ph/9911010); Int. J. Mod. Phys. A15 (2000) 2329 (math-ph/9912014). The thermodynamic Bethe ansatz (TBA) equation for an integrable spin chain related…

统计力学 · 物理学 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

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…

统计力学 · 物理学 2015-06-18 Yuan-Yuan Li , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

A Bethe ansatz equation associated with the Lie superalgebra osp(1|2s) is studied. A thermodynamic Bethe ansatz (TBA) equation is derived by the string hypothesis. The high temperature limit of the entropy density is expressed in terms of…

统计力学 · 物理学 2011-04-26 Zengo Tsuboi

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

强关联电子 · 物理学 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

We discuss the description of generic excited states in the quantum deformed AdS_5 x S^5 mirror thermodynamic Bethe ansatz and derive the associated Y-system. This Y-system shows an interesting new feature; it depends explicitly on the…

高能物理 - 理论 · 物理学 2015-06-11 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren