Correlation functions of disorder fields and parafermionic currents in Z_{N} Ising models
Abstract
We study the 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 (Zamolodchikov 1991 Nucl. Phys. B 348 619, Zamolodchikov 1990 Nucl. Phys. B 342 695 and Zamolodchikov 1995 Int. J. Mod. Phys. A 10 1125), 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.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 July 2009
 DOI:
 10.1088/17518113/42/30/304013
 arXiv:
 arXiv:0909.3347
 Bibcode:
 2009JPhA...42D4013F
 Keywords:

 High Energy Physics  Theory
 EPrint:
 41 pp. v2: some typos and references are corrected.