FM 19-08; arXiv:0811.3218v1

Authors : Giuseppe Benfatto, Pierluigi Falco, Vieri Mastropietro

Title: Extended scaling relations for planar lattice models

Abstract: It is widely believed that the critical properties of several planar lattice models, like the Eight Vertex or the Ashkin-Teller models, are well described by an effective Quantum Field Theory obtained as formal scaling limit. On the basis of this assumption several extended scaling relations among their indices were conjectured. We prove the validity of some of them, among which the ones by Kadanoff, [K], and by Luther and Peschel, [LP].

Keywords: Statistical Mechanics, Scaling limits, Quantum Field Theory, extended scaling formulas