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Using Watson's and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field $\phi(x)$ and the stress-energy tensor $T_{\mu\nu}(x)$ of…

高能物理 - 理论 · 物理学 2009-10-22 A. Fring , G. Mussardo , P. Simonetti

A previously conjectured set of exact form factors of boundary exponential operators in the sinh-Gordon model is tested against numerical results from boundary truncated conformal space approach in boundary sine-Gordon theory, related by…

高能物理 - 理论 · 物理学 2011-08-25 M. Lencses , G. Takacs

Following our attempts to define quasi-integrability in which we related this concept to a particular symmetry of the two-soliton function we check this condition in three classes of modified Sine-Gordon models in (1+1) dimensions. We find…

高能物理 - 理论 · 物理学 2015-06-16 L. A. Ferreira , Wojtek J. Zakrzewski

We developed the theory of finite volume form factors in the presence of integrable defects. These finite volume form factors are expressed in terms of the infinite volume form factors and the finite volume density of states and incorporate…

高能物理 - 理论 · 物理学 2014-04-02 Z. Bajnok , F. Buccheri , L. Hollo , J. Konczer , G. Takacs

We address the general question of how to reconstruct the field content of a quantum field theory from a given scattering theory in the context of the form factor program. For the $SU(3)_2$-homogeneous Sine-Gordon model we construct…

高能物理 - 理论 · 物理学 2009-10-31 O. A. Castro-Alvaredo , A. Fring

The bootstrap program for 1+1-dimensional integrable Quantum Field Theories (QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG) models. This program can be divided into various steps, which include the computation…

高能物理 - 理论 · 物理学 2007-05-23 Olalla A. Castro-Alvaredo

We introduce a class of pseudo-bosonic Klein-Gordon fields in 1+1 dimensions and we discuss some of their properties. This work originates from non Hermitian quantum mechanics and deformed canonical commutation relations. We show that,…

数学物理 · 物理学 2026-01-23 Fabio Bagarello

A general and systematic regularization is developed for the exact solitonic form factors of exponential operators in the (1+1)-dimensional sine-Gordon model by analytical continuation of their integral representations. The procedure is…

数学物理 · 物理学 2012-09-21 Tamas Palmai

Starting from a given S-matrix of an integrable quantum field theory in $1+1$ dimensions, and knowledge of its on-shell quantum group symmetries, we describe how to extend the symmetry to the space of fields. This is accomplished by…

高能物理 - 理论 · 物理学 2015-06-26 A. LeCLair , F. Smirnov

The sinh-Gordon model on a half-line with integrable boundary conditions is considered in low order perturbation theory developed in affine Toda field theory. The quantum corrections to the classical reflection factor of the model are…

高能物理 - 理论 · 物理学 2009-11-07 A. Chenaghlou

We derive a characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the…

高能物理 - 理论 · 物理学 2017-05-09 J. Teschner

We consider finite temperature correlation functions in massive integrable Quantum Field Theory. Using a regularization by putting the system in finite volume, we develop a novel approach (based on multi-dimensional residues) to the form…

高能物理 - 理论 · 物理学 2011-03-28 B. Pozsgay , G. Takacs

Using the methods of the 'form factor program' exact expressions of all matrix elements are obtained for several operators of the quantum sine-Gordon model alias the massive Thirring model. A general formula is presented which provides form…

高能物理 - 理论 · 物理学 2007-05-23 H. Babujian , M. Karowski

The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant…

统计力学 · 物理学 2026-04-15 M. Tóth , J. H. Pixley , G. Takács , M. Kormos

The 2-dimensional space-time sine-Gordon field theory is extended algebraically within the n-dimensional space of extended complex numbers. This field theory is constructed in terms of an adapted extension of standard vertex operators. A…

高能物理 - 理论 · 物理学 2014-11-18 Pascal Baseilhac

We discuss certain integrable quantum field theories in (1+1)-dimensions consisting of coupled sine/sinh-Gordon theories with N=1 supersymmetry, positive kinetic energy, and bosonic potentials which are bounded from below. We show that…

高能物理 - 理论 · 物理学 2009-10-30 Jonathan M. Evans , Jens Ole Madsen

We review applications of the sine-Gordon model, the O(3) non-linear sigma model, the U(1) Thirring model, and the O(N) Gross--Neveu model to quasi one-dimensional quantum magnets, Mott insulators, and carbon nanotubes. We focus upon the…

强关联电子 · 物理学 2016-11-23 Fabian H. L. Essler , Robert M. Konik

We provide detailed arguments on how to derive properties of generalized form factors, originally proposed by one of the authors (M.K.) and Weisz twenty years ago, solely based on the assumption of "minimal analyticity" and the validity of…

高能物理 - 理论 · 物理学 2009-10-31 H. Babujian , A. Fring , M. Karowski , A. Zapletal

We examine the two-point correlation functions of the fields exp(i$\alpha\Phi$) in the sine-Gordon theory at all values of the coupling constant $\hat\beta$. Using conformal perturbation theory, we write down explicit integral expressions…

高能物理 - 理论 · 物理学 2016-09-06 Robert M. Konik , Andre LeClair

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix…

强关联电子 · 物理学 2015-06-18 Francesco Buccheri , Gabor Takacs