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Related papers: On the quantum reflection factor for the sinh-Gord…

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Boundary operators and boundary ground states in sine-Gordon model with a fixed boundary condition are studied using bosonization and q-deformed oscillators.We also obtain the form-factors of this model.

High Energy Physics - Theory · Physics 2015-06-26 Bo-yu Hou , Kang-jie Shi , Yan-shen Wang , Wen-li Yang

This paper develops a technique allowing one to prove the convergence of a class of series of multiple integrals which corresponds to the form factor expansion of two-point functions in the 1+1 dimensional massive integrable Sinh-Gordon…

Mathematical Physics · Physics 2023-07-19 K. K. Kozlowski

We consider the sine-Gordon model on a half-line, with an additional potential term of the form $-M\cos{\beta\over 2}(\varphi-\varphi_0)$ at the boundary. We compute the classical time delay for general values of $M$, $\beta$ and…

High Energy Physics - Theory · Physics 2010-11-01 H. Saleur , S. Skorik , N. P. Warner

We show how to compute form factors, matrix elements of local fields, in the restricted sine-Gordon model, at the reflectionless points, by quantizing solitons. We introduce (quantum) separated variables in which the Hamiltonians are…

High Energy Physics - Theory · Physics 2008-11-26 O. Babelon , D. Bernard , F. A. Smirnov

This thesis considers massive field theories in 1+1 dimensions known as affine Toda quantum field theories. We first consider the boundary sine-Gordon model, deriving a complete picture of the boundary bound state structure for general…

High Energy Physics - Theory · Physics 2007-05-23 Peter Mattsson

A quantum group analysis is applied to the Sine-Gordon model (or may be its version) in a strong-coupling regime. Infinitely many bound states are found together with the corresponding S-matrices. These new solutions of the Yang-Baxter…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Pokrovsky

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…

High Energy Physics - Theory · Physics 2009-10-22 A. Fring , G. Mussardo , P. Simonetti

Stationary solution of one-dimensional Sine-Gordon system is embedded in a multidimensional theory with explicitly finite domain in the added spatial dimensions. Semiclassical corrections to energy are calculated for static kink solution…

Quantum Physics · Physics 2017-08-02 Grzegorz Kwiatkowski

In this paper we consider affine Toda systems defined on the half-plane and study the issue of integrability, i.e. the construction of higher-spin conserved currents in the presence of a boundary perturbation. First at the classical level…

High Energy Physics - Theory · Physics 2016-09-06 S. Penati , D. Zanon

1+1 dimensional integrable quantum field theories correspond to a sparse subset of quantum field theories where the calculation of physically interesting observables can be brought to explicit, closed and manageable expressions thanks to…

Mathematical Physics · Physics 2023-05-12 Karol K. Kozlowski

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…

High Energy Physics - Theory · Physics 2009-10-31 H. Babujian , A. Fring , M. Karowski , A. Zapletal

We study the boundary S-matrix for the reflection of bound states of the two-dimensional sine-Gordon integrable field theory in the presence of a boundary.

High Energy Physics - Theory · Physics 2010-01-07 Subir Ghoshal

Using the sine-Gordon model as the prime example an alternative approach to integrable boundary conditions for a theory restricted to a half-line is proposed. The main idea is to explore the consequences of taking into account the…

High Energy Physics - Theory · Physics 2012-06-12 E. Corrigan , C. Zambon

We develop a unified theoretical framework for the anisotropic Kondo model and the boundary sine-Gordon model. They are both boundary integrable quantum field theories with a quantum-group spin at the boundary which takes values,…

Condensed Matter · Physics 2009-10-28 P. Fendley , F. Lesage , H. Saleur

This contribution to the Proceedings of the Workshop on Integrable Theories, Solitons and Duality in Sao Paulo in July 2002 summarizes results from the papers hep-th/0112023 and math.QA/0208043. We derive the non-local conserved charges in…

High Energy Physics - Theory · Physics 2007-05-23 Gustav W Delius , Alan George

Considering the model of a scalar massive Fermion, it is shown that by means of deformation techniques it is possible to obtain all integrable quantum field theoretic models on two-dimensional Minkowski space which have factorizing…

Mathematical Physics · Physics 2012-09-12 Sabina Alazzawi

We study two-dimensional classically integrable field theory with independent boundary condition on each end, and obtain three possible generating functions for integrals of motion when this model is an ultralocal one. Classically…

High Energy Physics - Theory · Physics 2008-11-26 Yi-Xin Chen , Xu-Dong Luo , Ke Wu

We construct new non-diagonal solutions to the boundary Yang-Baxter-Equation corresponding to a two-dimensional field theory with U_q(a_2^(1)) quantum affine symmetry on a half-line. The requirements of boundary unitarity and boundary…

High Energy Physics - Theory · Physics 2014-11-18 Georg M. Gandenberger

Boundary form factor axioms are derived for the matrix elements of local boundary operators in integrable 1+1 dimensional boundary quantum field theories using the analyticity properties of correlators via the boundary reduction formula.…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bajnok , L. Palla , G. Takacs

We revisit the exact solution of the two space-time dimensional quantum field theory of a free massless boson with a periodic boundary interaction and self-dual period. We analyze the model by using a mapping to free fermions with a…

High Energy Physics - Theory · Physics 2008-11-26 M. Hasselfield , Taejin Lee , G. W. Semenoff , P. C. E. Stamp