Correlation functions of disorder fields and parafermionic currents in Z(N) Ising models

Abstract

We study correlation functions of parafermionic currents and disorder fields in the Z(N) symmetric conformal field theory perturbed by the first thermal operator. Following the ideas of Al. Zamolodchikov, we develop for the correlation functions the conformal perturbation theory at small scales and the form factors spectral decomposition at large ones. For all N there is an agreement between the data at the intermediate distances. We consider the problems arising in the description of the space of scaling fields in perturbed models, such as null vector relations, equations of motion and a consistent treatment of fields related by a resonance condition.

41 pp. v2: some typos and references are corrected.

References in corpus (4)

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• Gauge-free Electrodynamics
• Form factors of descendant operators: Resonance identities in the sinh-Gordon model
• Approaching the RSOS critical points through entanglement: one model for many universalities
• Algebraic approach to form factors in the complex sinh-Gordon theory
• Form factors of descendant operators in the Bullough-Dodd model