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We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of…

High Energy Physics - Theory · Physics 2010-04-05 Changrim Ahn , Zoltan Bajnok , Rafael I. Nepomechie , Laszlo Palla , Gabor Takacs

We investigate boundary bound states of sine-Gordon model on the finite-size strip with Dirichlet boundary conditions. For the purpose we derive the nonlinear integral equation (NLIE) for the boundary excited states from the Bethe ansatz…

High Energy Physics - Theory · Physics 2008-11-26 Changrim Ahn , Zoltan Bajnok , Laszlo Palla , Francesco Ravanini

We investigate various excited states of Sine-Gordon model on a strip with Dirichlet boundary conditions on both boundaries using a Non Linear Integral Equation (NLIE) approach.

High Energy Physics - Theory · Physics 2009-11-10 Changrim Ahn , Marco Bellacosa , Francesco Ravanini

A non-linear integral equation (NLIE) governing the finite size effects of excited states of even topological charge in the sine-Gordon (sG) / massive Thirring (mTh) field theory, deducible from a light-cone lattice formulation of the…

High Energy Physics - Theory · Physics 2009-10-31 G. Feverati , F. Ravanini , G. Takacs

We present the coupled nonlinear integral equations (NLIE) governing the finite size effects in N=1 super sine-Gordon model for the vacuum as well as for the excited states. Their infrared limit correctly yields the scattering data of the…

High Energy Physics - Theory · Physics 2008-11-26 Arpad Hegedus , Francesco Ravanini , Junji Suzuki

We examine the connection between the nonlinear integral equation (NLIE) derived from light-cone lattice and sine-Gordon quantum field theory, considered as a perturbed c=1 conformal field theory. After clarifying some delicate points of…

High Energy Physics - Theory · Physics 2009-10-31 G. Feverati , F. Ravanini , G. Takacs

In an earlier work [1] J. Suzuki proposed a set of nonlinear integral equations (NLIE) to describe the excited state spectrum of the integrable spin-1 XXZ chain in its repulsive regime. In this paper we extend his equations for the…

High Energy Physics - Theory · Physics 2008-11-26 Arpad Hegedus

The XXX spin-$\frac{1}{2}$ Heisenberg chain with non-diagonal boundary fields represents a cornerstone model in the study of integrable systems with open boundaries. Despite its significance, solving this model exactly has remained a…

Strongly Correlated Electrons · Physics 2026-01-21 Holger Frahm , Andreas Klümper , Dennis Wagner , Xin Zhang

In this thesis we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theory with boundaries, with emphasis to sine-Gordon model with Dirichlet boundary…

High Energy Physics - Theory · Physics 2007-05-23 Marco Bellacosa

In this thesis, we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theories, with emphasis to Sine-Gordon/Massive Thirring model and restrictions to minimal…

High Energy Physics - Theory · Physics 2007-05-23 G. Feverati

We propose a set of nonlinear integral equations to describe on the excited states of an integrable the spin 1 chain with anisotropy. The scaling dimensions, evaluated numerically in previous studies, are recovered analytically by using the…

High Energy Physics - Theory · Physics 2009-11-10 J. Suzuki

We propose TBA integral equations for multiparticle soliton (fermion) states in the Sine-Gordon (massive Thirring) model. This is based on T-system and Y-system equations, which follow from the Bethe Ansatz solution in the light-cone…

High Energy Physics - Theory · Physics 2008-11-26 J. Balog , A. Hegedus

We describe an extension of the nonlinear integral equation (NLIE) method to Virasoro minimal models perturbed by the relevant operator $\Phi_{(1,3)$. Along the way, we also complete our previous studies of the finite volume spectrum of…

High Energy Physics - Theory · Physics 2009-10-31 G. Feverati , F. Ravanini , G. Takacs

Starting from the T-Q equation of an open integrable spin-1/2 XXZ quantum spin chain with nondiagonal boundary terms, we derive a nonlinear integral equation (NLIE) of the sine-Gordon model on a finite interval. We compute the boundary…

High Energy Physics - Theory · Physics 2014-11-20 Rajan Murgan

A set of coupled non-linear integral equations is derived for a class of models connected with the quantum group $U_q(\hat g)$ ($g$ simply laced Lie algebra), which are solvable using the Bethe Ansatz; these equations describe arbitrary…

High Energy Physics - Theory · Physics 2008-11-26 P. Zinn-Justin

In this paper we propose two sets of nonlinear integral equations (NLIE) for describing the thermodynamics in the sine-Gordon model, when higher Lorentz spin conserved charges are also coupled to the Gibbs ensemble. We call them NLIE I and…

High Energy Physics - Theory · Physics 2025-10-30 Arpad Hegedus

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…

High Energy Physics - Theory · Physics 2019-08-15 C. Destri , H. J. de Vega

We propose a system of nonlinear integral equations (NLIE) which gives the free energy of the $U_{q}(widehat{sl}(r+1|s+1))$ Perk-Schultz model. In contrast with traditional thermodynamic Bethe ansatz equations, our NLIE contain only r+s+1…

Statistical Mechanics · Physics 2008-11-26 Zengo Tsuboi

We consider the infrared (IR) limit of the nonlinear integral equations (NLIEs) for the boundary supersymmetric sine-Gordon (BSSG) model, previously obtained from the NLIEs for the inhomogeneous open spin-1 XXZ quantum spin chain with…

High Energy Physics - Theory · Physics 2015-05-28 Rajan Murgan

The aim of this paper is to investigate the non-relativistic limit of integrable quantum field theories with fermionic fields, such as the O(N) Gross-Neveu model, the supersymmetric Sinh-Gordon and non-linear sigma models. The…

High Energy Physics - Theory · Physics 2017-05-15 Alvise Bastianello , Andrea De Luca , Giuseppe Mussardo
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