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We study the thermodynamics of the isotropic Heisenberg XXX spin chain with negative spin, focusing on the case $s=-1$. The model is equivalent to the quantum lattice nonlinear Schr\"odinger (NLS) model and appears as an effective theory in…

High Energy Physics - Theory · Physics 2026-02-13 Rong Zhong , Yang-Yang Chen , Kun Hao , Wen-li Yang , Vladimir Korepin

The vacuum dynamics of SU(2) and SU(3) lattice gauge theories is studied by means of a gauge-invariant effective action defined using the lattice Schr\"odinger functional at finite temperature. In the case of the SU(3) gauge theory…

High Energy Physics - Lattice · Physics 2007-05-23 P. Cea , L. Cosmai

We consider the sl(N) twisted Yangian quantum spin chain. In particular, we study the bulk and boundary scattering of the model via the solution of the Bethe ansatz equations in the thermodynamic limit. Local defects are also implemented in…

Mathematical Physics · Physics 2015-05-22 Jean Avan , Anastasia Doikou , Nikos Karaiskos

On the basis of Bethe ansatz solution of one dimensional Kondo model with electronic interaction, the thermodynamics equilibrium of the system in finite temperature is studied in terms of the strategy of Yang and Yang. The string hypothesis…

Strongly Correlated Electrons · Physics 2009-10-31 Shi-Jian Gu , You-Quan Li , Hai-Qing Lin

We construct an integrable Hubbard model with impurity site containing spin and charge degrees of freedom. The Bethe ansatz equations for the Hamiltonian are derived and two alternative sets of equations for the thermodynamical properties.…

Statistical Mechanics · Physics 2019-07-26 Yahya Öz , Andreas Klümper

We study the P"oschl-Teller equation in complex domain and deduce infinite families of TQ and Bethe ansatz equations, classified by four integers. In all these models the form of T is very simple, while Q can be explicitly written in terms…

High Energy Physics - Theory · Physics 2008-11-26 Patrick Dorey , Junji Suzuki , Roberto Tateo

We investigate the field equations in the Einstein-aether theory for static spherically symmetric spacetimes and a perfect fluid source and subsequently with the addition of a scalar field (with an exponential self-interacting potential).…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Alan Coley , Genly Leon

Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded Quantum Inverse Scattering Method. The Bethe ansatz equations for all these models are derived by using the algebraic…

Strongly Correlated Electrons · Physics 2009-11-07 Anthony J. Bracken , Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou

We present an ``algebraic treatment'' of the analytical Bethe ansatz for open spin chains with soliton non preserving (SNP) boundary conditions. For this purpose, we introduce abstract monodromy and transfer matrices which provide an…

Mathematical Physics · Physics 2009-11-11 D. Arnaudon , N. Crampe , A. Doikou , L. Frappat , E. Ragoucy

We consider the $L$-state cyclic solid-on-solid lattice models under a class of open boundary conditions. The integrable boundary face weights are obtained by solving the reflection equations. Functional relations for the fused transfer…

Condensed Matter · Physics 2009-10-28 Y K Zhou , M T Batchelor

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 consider the quantum Sherrington-Kirkpatrick (SK) spin-glass model with transverse field and provide a formula for its free energy in the thermodynamic limit, valid for all inverse temperatures $\beta>0$. To characterize the free energy,…

Probability · Mathematics 2020-01-01 Arka Adhikari , Christian Brennecke

We derive a finite set of nonlinear integral equations (NLIE) for the thermodynamics of the one-dimensional sl(4)-symmetric Uimin-Sutherland model. Our NLIE can be evaluated numerically for arbitrary finite temperature and chemical…

Statistical Mechanics · Physics 2011-02-16 Jens Damerau , Andreas Klümper

The one-loop effective potential for gauge models in static de Sitter space at finite temperatures is computed by means of the $\zeta$--function method. We found a simple relation which links the effective potentials of gauge and scalar…

High Energy Physics - Theory · Physics 2016-09-06 Lara De Nardo , Dmitri V. Fursaev , Gennaro Miele

Noncompact SO(1,N) sigma-models are studied in terms of their large N expansion in a lattice formulation in dimensions d \geq 2. Explicit results for the spin and current two-point functions as well as for the Binder cumulant are presented…

High Energy Physics - Theory · Physics 2008-11-26 A. Duncan , M. Niedermaier , P. Weisz

We formulate the functional Bethe ansatz for bosonic (infinite dimensional) representations of the Yang-Baxter algebra. The main deviation from the standard approach consists in a half infinite 'Sklyanin lattice' made of the eigenvalues of…

Mathematical Physics · Physics 2014-11-21 Luigi Amico , Holger Frahm , Andreas Osterloh , Tobias Wirth

We propose, using the example of the O(4) sigma model, a general method for solving integrable two dimensional relativistic sigma models in a finite size periodic box. Our starting point is the so-called Y-system, which is equivalent to the…

High Energy Physics - Theory · Physics 2010-01-06 Nikolay Gromov , Vladimir Kazakov , Pedro Vieira

By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t-J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T-Q relation,…

Mathematical Physics · Physics 2017-07-13 Pei Sun , Fakai Wen , Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi

We study on-shell and off-shell properties of the supersymmetric sinh-Gordon and perturbed SUSY Yang-Lee models using the thermodynamic Bethe ansatz and form factors. Identifying the supersymmetric models with the Eight Vertex Free Fermion…

High Energy Physics - Theory · Physics 2009-10-22 Changrim Ahn

We analyze the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process on a finite lattice and with the most general open boundary conditions. We extend results obtained…

Statistical Mechanics · Physics 2009-01-27 Jan de Gier , Fabian H L Essler