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Related papers: NLIE of Dirichlet sine-Gordon Model for Boundary B…

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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

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

Starting from the Bethe Ansatz solution of the open integrable spin-1 XXZ quantum spin chain with diagonal boundary terms, we derive a set of nonlinear integral equations (NLIEs), which we propose to describe the boundary supersymmetric…

High Energy Physics - Theory · Physics 2008-11-26 Changrim Ahn , Rafael I. Nepomechie , Junji Suzuki

The NLIE (the non-linear integral equation equivalent to the Bethe Ansatz equations for finite size) is generalized to excited states, that is states with holes and complex roots over the antiferromagnetic ground state. We consider the…

High Energy Physics - Theory · Physics 2016-09-06 C. Destri , H. J. de Vega

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

We present a complete study of boundary bound states and related boundary S-matrices for the sine-Gordon model with Dirichlet boundary conditions. Our approach is based partly on the bootstrap procedure, and partly on the explicit solution…

High Energy Physics - Theory · Physics 2016-09-06 S. Skorik , H. Saleur

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

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

We analyze the ground state structure of the supersymmetric sine-Gordon model via the lattice regularization. The nonlinear integral equations are derived for any values of the boundary parameters by the analytic continuation and showed…

High Energy Physics - Theory · Physics 2012-05-07 Chihiro Matsui

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

We compute the boundary energy and the Casimir energy for both the spin-1/2 XXZ quantum spin chain and (by means of the light-cone lattice construction) the massive sine-Gordon model with both left and right boundaries. We also derive a…

High Energy Physics - Theory · Physics 2015-06-26 Changrim Ahn , Rafael I. Nepomechie

We discussed subspaces of the N=1 supersymmetric sine-Gordon model with Dirichlet boundaries through light-cone lattice regularization. In this paper, we showed, unlike the periodic boundary case, both of Neveu-Schwarz (NS) and Ramond (R)…

High Energy Physics - Theory · Physics 2014-06-20 Chihiro Matsui

The sine-Gordon equation in light cone coordinates is solved when Dirichlet conditions on the L-shape boundaries of the strip [0,T]X[0,infinity) are prescribed in a class of functions that vanish (mod 2 pi) for large x at initial time. The…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 J. Leon

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 find the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary…

High Energy Physics - Theory · Physics 2008-11-26 Peter Mattsson , Patrick Dorey

Starting from the T-Q equations of the open spin-1 XXZ quantum spin chain with general integrable boundary terms, for values of the boundary parameters which satisfy a certain constraint, we derive a set of nonlinear integral equations…

High Energy Physics - Theory · Physics 2011-02-16 Rajan Murgan

The sine-Gordon model on the half-line with a dynamical boundary introduced by Delius and one of the authors is considered at quantum level. Classical boundary conditions associated with classical integrability are shown to be preserved at…

High Energy Physics - Theory · Physics 2014-11-18 P. Baseilhac , K. Koizumi

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

We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Skorik

The sine-Gordon model with Neumann boundary condition is investigated. Using the bootstrap principle the spectrum of boundary bound states is established. Somewhat surprisingly it is found that Coleman-Thun diagrams and bound state creation…

High Energy Physics - Theory · Physics 2014-11-18 Z. Bajnok , L. Palla , G. Takacs
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