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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

The most general solution to the form factor problem in the sinh-Gordon model is presented in an explicit way. The linearly independent classes of solutions correspond to powers of the elementary field. We show how the form factors of…

High Energy Physics - Theory · Physics 2009-10-30 M. Pillin

The free field representation for form factors in the sinh-Gordon model and the sine-Gordon model in the breather sector is modified to describe the form factors of descendant operators, which are obtained from the exponential ones,…

Mathematical Physics · Physics 2010-06-01 Boris Feigin , Michael Lashkevich

Form factors in the sinh-Gordon model are studied semiclassically for small values of the parameter $b\sim\hbar^{1/2}$ in the background of a radial classical solution, which describes a heavy exponential operator placed at the origin. For…

High Energy Physics - Theory · Physics 2024-04-08 Michael Lashkevich , Oleg Lisovyy , Tatiana Ushakova

Using the recently introduced boundary form factor bootstrap equations, the form factors of boundary exponential operators in the sinh-Gordon model are constructed. The ultraviolet scaling dimension and the normalization of these operators…

High Energy Physics - Theory · Physics 2009-11-13 G. Takacs

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

We study the space of local operators in the sinh-Gordon model in the framework of the bootstrap form factor approach. Our final goal is to identify the operators obtained by solving bootstrap equations with those defined in terms of the…

High Energy Physics - Theory · Physics 2015-06-23 Michael Lashkevich , Yaroslav Pugai

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

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

An integral representation for form-factors of exponential fields in the sine-Gordon model is proposed.

High Energy Physics - Theory · Physics 2009-10-30 S. Lukyanov

I present a derivation of form factors in the Algebraic Cluster Model for an arbitrary number of identical clusters. The form factors correspond to representation matrix elements which are derived in closed form for the harmonic oscillator…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

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

In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson's and the recursive equations satisfied by matrix…

High Energy Physics - Theory · Physics 2007-05-23 G. Mussardo

A general form factor formula for the scaling Z(N)-Ising model is constructed. Exact expressions for matrix elements are obtained for several local operators. In addition, the commutation rules for order, disorder parameters and para-Fermi…

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

Previous results on form factors for the scaling Ising and the sinh-Gordon models are extended to general $Z_{N}$-Ising and affine $A_{N-1}$-Toda quantum field theories. In particular result for order, disorder parameters and para-fermi…

High Energy Physics - Theory · Physics 2015-06-26 H. Babujian , M. Karowski

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

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…

High Energy Physics - Theory · Physics 2011-08-25 M. Lencses , G. Takacs

The diagonal matrix elements $\langle\theta_1,\theta_2|T_{2n}T_{-2n}|\theta_1,\theta_2\rangle$ between two-particle states in the sinh-Gordon model are computed analytically for all integers $n>0$. This confirms the proposal by F. Smirnov…

High Energy Physics - Theory · Physics 2016-07-20 Michael Lashkevich , Yaroslav Pugai

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…

High Energy Physics - Theory · Physics 2007-05-23 H. Babujian , M. Karowski

We classify the operator content of local hermitian scalar operators in the Sinh-Gordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure…

High Energy Physics - Theory · Physics 2009-10-22 A. Koubek , G. Mussardo
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