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相关论文: Bethe Ansatz Equations for the Broken $Z_{N}$-Symm…

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A Bethe Ansatz study of a self dual Z_N spin model is undertaken for even spin system. One has to solve a coupled system of Bethe Ansatz Equations (BAE) involving zeroes of two families of transfer matrices. A numerical study on finite size…

高能物理 - 理论 · 物理学 2009-11-11 Subhankar Ray , J. Shamanna

The critical Boltzmann weights for lattice analogues of the $N=2$ superconformal coset models $\frac{G_1 \times SO(dim(G/H))}{H}$ were given in \cite{nick}. In this paper Bethe Ansatz methods are employed to calculate the spectrum of the…

高能物理 - 理论 · 物理学 2007-05-23 Z. Maassarani

The nested algebraic Bethe ansatz is presented for the anisotropic supersymmetric $U$ model maintaining quantum supersymmetry. The Bethe ansatz equations of the model are obtained on a one-dimensional closed lattice and an expression for…

solv-int · 物理学 2009-10-31 Katrina Hibberd , Itzhak Roditi , Jon Links , Angela Foerster

We present a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisemberg chain we derive, for arbitrary values of the anysotropy, a {\bf single}…

高能物理 - 理论 · 物理学 2008-02-03 C. Destri , H. J. de Vega

The Bethe ansatz equation is solved to obtain analytically the leading finite-size correction of the spectra of the asymmetric XXZ chain and the accompanying isotropic 6-vertex model near the antiferromagnetic phase boundary at zero…

统计力学 · 物理学 2009-10-28 Doochul Kim

We have considered the Zamolodchikov-Fateev and the Izergin-Korepin models with diagonal reflection boundaries. In each case the eigenspectrum of the transfer matrix is determined by application of the algebraic Bethe Ansatz.

可精确求解与可积系统 · 物理学 2010-04-07 V. Kurak , A. Lima-Santos

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

Thermodynamics of the XXX Heisenberg model is studied. The trace of the Boltzmann weight with respect to the Hilbert space is taken in the thermodynamic limit with the number of up-spins being fixed. The expression of the trace gives an…

统计力学 · 物理学 2020-07-20 Go Kato , Miki Wadati

We consider an open spin chain model with GL(N) bulk symmetry that is broken to GL(M) x GL(N-M) by the boundary, which is a generalization of a model arising in string/gauge theory. We prove the integrability of this model by constructing…

高能物理 - 理论 · 物理学 2015-05-14 Rafael I. Nepomechie

We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear…

高能物理 - 理论 · 物理学 2007-05-23 H. J. de Vega

The ground state energy of integrable asymptotically free theories can be conjecturally computed by using the Bethe ansatz, once the theory has been coupled to an external potential through a conserved charge. This leads to a precise…

高能物理 - 理论 · 物理学 2021-08-13 Marcos Marino , Ramon Miravitllas , Tomas Reis

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…

高能物理 - 理论 · 物理学 2011-02-16 T. Klose , K. Zarembo

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the…

统计力学 · 物理学 2007-05-23 Jan de Gier , Fabian H. L. Essler

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.…

统计力学 · 物理学 2009-11-07 Frank Göhmann

In this work we have developed the essential tools for the algebraic Bethe ansatz solution of integrable vertex models invariant by a unique U(1) charge symmetry. The formulation is valid for arbitrary statistical weights and respective…

数学物理 · 物理学 2009-11-13 C. S. Melo , M. J. Martins

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,…

高能物理 - 理论 · 物理学 2015-06-26 Andrei Babichenko , Roberto Tateo

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…

凝聚态物理 · 物理学 2009-10-28 Y K Zhou , M T Batchelor

The one-dimensional Hubbard model with open boundary conditions is exactly solved by means of algebraic Bethe ansatz. The eigenvalue of the transfer matrix, the energy spectrum as well as the Bethe ansatz equations are obtained.

统计力学 · 物理学 2009-10-31 X. -W. Guan

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 study the exact solution of an $N$-state vertex model based on the representation of the $U_q[SU(2)]$ algebra at roots of unity with diagonal open boundaries. We find that the respective reflection equation provides us one general class…

数学物理 · 物理学 2015-05-14 M. J. Martins , C. S. Melo
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