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

29 ppInternational audienceWe study correlation functions of parafermionic currents and disorder fieldsin the Z(N) symmetric conformal field theory perturbed by the first thermaloperator. Following the ideas of Al. Zamolodchikov, we develop for thecorrelation functions the conformal perturbation theory at small scales and theform factors spectral decomposition at large ones. For all N there is anagreement between the data at the intermediate distances. We consider theproblems arising in the description of the space of scaling fields in perturbedmodels, such as null vector relations, equations of motion and a consistenttreatment of fields related by a resonance condition