
VOLUME 83  ISSUE 4 
PAGE 206

On scaling fields in Z_{N} Ising models

V. A. Fateev^{+*}, V. V. Postnikov, Y. P. Pugai^{+}
^{+}L. D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia ^{*} Laboratoire de Physique Théorique et Astroparticules, Université Montpellier II, 34095 Montpellier, France Sochi's branch of People Friendship University, 354348 Sochi, Russia

PACS: 74.50.+r, 74.80.Fp

Abstract
We study the space of scaling fields in the Z_{N}
symmetric models with the factorized scattering and propose simplest
algebraic relations between 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 correlation functions of order
and disorder fields in the form factor and
conformal field theories perturbation
approaches.


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