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We consider the quantum sinh-Gordon model in this paper. Using known formulae for form factors we sum up all their contributions and obtain a closed expression for a correlation function. This expression is a determinant of an integral…

High Energy Physics - Theory · Physics 2008-11-26 V. E. Korepin , N. A. Slavnov

The composite operator T\bar{T}, obtained from the components of the energy-momentum tensor, enjoys a quite general characterization in two-dimensional quantum field theory also away from criticality. We use the form factor bootstrap…

High Energy Physics - Theory · Physics 2009-11-11 Gesualdo Delfino , Giuliano Niccoli

We study quasilocal operators in the quantum complex sinh-Gordon theory in the form factor approach. The free field procedure for descendant operators is developed by introducing the algebra of screening currents and related algebraic…

High Energy Physics - Theory · Physics 2019-01-30 Michael Lashkevich , Yaroslav Pugai

We develop a method for computing form factors of local operators in the framework of Sklyanin's separation of variables (SOV) approach to quantum integrable systems. For that purpose, we consider the sine-Gordon model on a finite lattice…

Mathematical Physics · Physics 2017-03-20 N. Grosjean , J. M. Maillet , G. Niccoli

We study form factors of the quantum complex sinh-Gordon theory in the algebraic approach. In the case of exponential fields the form factors can be obtained from the known form factors of the $Z_N$-symmetric Ising model. The algebraic…

High Energy Physics - Theory · Physics 2016-11-28 Michael Lashkevich , Yaroslav Pugai

We consider the construction of integrable quantum field theories in the operator-algebraic approach, which is based on quantum fields localized in infinitely extended wedge regions. This approach has been successful for the construction of…

Mathematical Physics · Physics 2019-12-25 Daniela Cadamuro

I briefly review the properties of classical affine Toda field theories and indicate how some of this features survive in the quantum theory on-shell. I demonstrate how this knowledge can be extended off-shell, i.e. how to compute…

High Energy Physics - Theory · Physics 2007-05-23 A. Fring

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 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…

High Energy Physics - Theory · Physics 2009-11-07 A. Chenaghlou

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

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

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

In this paper, we first use semi-classical methods to study quantum field theoretical aspects of the integrable noncommutative sine-Gordon model proposed in [hep-th/0406065]. In particular, we examine the fluctuations at quadratic order…

High Energy Physics - Theory · Physics 2009-06-11 Seckin Kurkcuoglu , Olaf Lechtenfeld

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

We continue the study of form factors of descendant operators in the sinh- and sine-Gordon models in the framework of the algebraic construction proposed in [arXiv:0812.4776]. We find the algebraic construction to be related to a particular…

Mathematical Physics · Physics 2014-07-30 Michael Lashkevich , Yaroslav Pugai

The one loop quantum corrections to the classical reflection factor of the sinh-Gordon model are calculated partially for general boundary conditions. The model is studied under boundary conditions which are compatible with integrability,…

High Energy Physics - Theory · Physics 2016-12-28 A. Chenaghlou

We determine exactly the mass-coupling relation for the simplest multi-scale quantum integrable model, the homogenous sine-Gordon model with two independent mass-scales. We first reformulate its perturbed coset CFT description in terms of…

High Energy Physics - Theory · Physics 2016-06-28 Zoltan Bajnok , Janos Balog , Katsushi Ito , Yuji Satoh , Gabor Zsolt Toth

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…

High Energy Physics - Theory · Physics 2014-11-18 Pascal Baseilhac

Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained for several operators: all powers of the fundamental bose field, general exponentials of it, the energy…

High Energy Physics - Theory · Physics 2008-11-26 H. Babujian , M. Karowski

A semiclassical approach is used to obtain Lorentz covariant expressions for the form factors between the kink states of a quantum field theory with degenerate vacua. Implemented on a cylinder geometry it provides an estimate of the…

High Energy Physics - Theory · Physics 2010-04-05 G. Mussardo , V. Riva , G. Sotkov