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We study the sine-Gordon quantum field theory at finite temperature by generalizing the method of random surfaces to compute the free energy and one-point functions of exponential operators non-perturbatively. Focusing on the gapped phase…

Statistical Mechanics · Physics 2025-06-11 M. Tóth , J. H. Pixley , D. Szász-Schagrin , G. Takács , M. Kormos

The study of Finite Size Effects in Quantum Field Theory allows the extraction of precious perturbative and non-perturbative information. The use of scaling functions can connect the particle content (scattering theory formulation) of a QFT…

High Energy Physics - Theory · Physics 2017-08-23 Francesco Ravanini

We study in this paper the ground state energy of a free bosonic theory on a finite interval of length $R$ with either a pair of sine-Gordon type or a pair of Kondo type interactions at each boundary. This problem has potential applications…

Statistical Mechanics · Physics 2015-06-24 J. -S. Caux , H. Saleur , F. Siano

As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal)…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld

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

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

Despite the fact that it is not integrable, the 1 + 2-dimensional Sine-Gordon equation has N-soliton solutions, whose velocities are lower than the speed of light (c = 1), for all N greater than or equal to 1. Based on these solutions, a…

Exactly Solvable and Integrable Systems · Physics 2015-06-19 Yair Zarmi

The ground state of the $\SO(2n)_{1} \times \SO(2n)_{1} \over \SO(2n)_{2}$ coset theories, perturbed by the $\phi^{id,id}_{adj}$ operator and those of the sine-Gordon theory, for special values of the coupling constant in the attracting…

High Energy Physics - Theory · Physics 2009-10-28 R. Tateo

We derive the non-linear integral equations determining the free energy of the three-state pure bosonic Uimin-Sutherland model. In order to find a complete set of auxiliary functions, the anti-symmetric fusion procedure is utilized. We…

Statistical Mechanics · Physics 2009-10-31 Akira Fujii , Andreas Kluemper

New integral representations for form factors in the two parametric SS model are proposed. Some form factors in the parafermionic sine-Gordon model and in an integrable perturbation of SU(2) coset conformal field theories are…

High Energy Physics - Theory · Physics 2007-05-23 Benedicte Ponsot

The generalized symmetric space sine-Gordon theories are a series of 1+1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as…

High Energy Physics - Theory · Physics 2011-06-07 Timothy J. Hollowood , J. Luis Miramontes

The two-frequency sine-Gordon model is examined. The focus is mainly on the case when the ratio of the frequencies is 1/2, given the recent interest in the literature. We discuss the model both in a perturbative (form factor perturbation…

High Energy Physics - Theory · Physics 2009-10-31 Z. Bajnok , L. Palla , G. Takacs , F. Wagner

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 consider SUSY sine-Gordon theory in the framework of perturbed conformal field theory. Using an argument from Zamolodchikov, we obtain the vacuum structure and the kink adjacency diagram of the theory, which is cross-checked against the…

High Energy Physics - Theory · Physics 2009-11-10 Z. Bajnok , C. Dunning , L. Palla , G. Takacs , F. Wagner

The ground, one- and two-particle states of the (1+1)-dimensional massive sine-Gordon field theory are investigated within the framework of the Gaussian wave-functional approach. We demonstrate that for a certain region of the…

High Energy Physics - Theory · Physics 2009-10-31 Wen-Fa Lu

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

We discuss the finite-size properties of a simple integrable quantum field theory in 1+1 dimensions with non-trivial boundary conditions. Novel off-critical identities between cylinder partition functions of models with differing boundary…

High Energy Physics - Theory · Physics 2009-10-16 P. Dorey , M. Pillin , A. Pocklington , I. Runkel , R. Tateo , G. M. T. Watts

We describe an extension of the nonlinear integral equation (NLIE) tehnique to N=1 superminimal models perturbed by $\Phi_{13}$. Along the way, we also complete our previous studies of the finite volume spectrum of the N=1 supersymmetric…

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

We briefly review the general structure of integrable particle theories in 1+1 dimensions having N=1 supersymmetry. Examples are specific perturbed superconformal field theories (of Yang-Lee type) and the N=1 supersymmetric sine-Gordon…

High Energy Physics - Theory · Physics 2009-10-30 M. Moriconi , K. Schoutens

Numerical Simulations of the random phase sine-Gordon model suffer from strong finite size effects preventing the non-Gaussian $\log^2 r$ component of the spatial correlator from following the universal infinite volume prediction. We show…

Disordered Systems and Neural Networks · Physics 2011-02-16 D. J. Lancaster , J. J. Ruiz-Lorenzo