We study the space of scaling fields in the Z N symmetric models with factorized scattering and propose the simplest algebraic relations between the form factors induced by the action of deformed parafermionic currents. The construction gives a new free field representation for form factors of perturbed Virasoro algebra primary fields, which are parafermionic algebra descendants. We find exact vacuum expectation values of physically important fields and study the correlation functions of order and disorder fields in the form factor and conformal field theories perturbation approaches.We study the space of scaling fields in the Z N symmetric models with factorized scattering and propose the simplest algebraic relations between the form factors induced by the action of deformed parafermionic currents. The construction gives a new free field representation for form factors of perturbed Virasoro algebra primary fields, which are parafermionic algebra descendants. We find exact vacuum expectation values of physically important fields and study the correlation functions of order and disorder fields in the form factor and conformal field theories perturbation approaches.

arXiv:hep-th/0601073Journal of Experimental and Theoretical Physics LettersApr 1, 200618 citations

Correlation functions of descendants in the scaling Lee--Yang model

Belavin, V A, Miroshnichenko, O V

Correlation functions of the composite field $T\\bar{T}$ in the scaling Lee--Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli \\cite{DN}, we show numerically that the constraints on the $T\\bar{T}$ expectation values obtained in \\cite{AZ_VEVTT} and the additional requirement of asymptotic behavior lead to a perfect agreement with the ultraviolet asymptotic predicted by the conformal perturbation theory.Correlation functions of the composite field $T\\bar{T}$ in the scaling Lee--Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli \\cite{DN}, we show numerically that the constraints on the $T\\bar{T}$ expectation values obtained in \\cite{AZ_VEVTT} and the additional requirement of asymptotic behavior lead to a perfect agreement with the ultraviolet asymptotic predicted by the conformal perturbation theory.

Nov 11, 20052 citations

A method to determine the operator content of perturbed conformal field theories

Anni Koubek

arXiv:hep-th/9501028Physics Letters BMar 1, 199513 citations

Bulk and boundary operators in conformal field theory

John Cardy, David C. Lewellen

Physics Letters BApr 1, 1991375 citations

Correlation functions of the composite field

T\\bar{T}

in the scaling Lee--Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli \\cite{DN}, we show numerically that the constraints on the

T\\bar{T}

expectation values obtained in \\cite{AZ_VEVTT} and the additional requirement of asymptotic behavior lead to a perfect agreement with the ultraviolet asymptotic predicted by the conformal perturbation theory.