FM 4-2010

Authors: Giuseppe Benfatto, Pierluigi Falco, Vieri Mastropietro

Title: Universal Relations for Non Solvable Statistical Models
Abstract: We present the first rigorous derivation of a number of universal relations for a class of models with continuously varying indices (among which are interacting planar Ising models, quantum spin chains and 1D Fermi systems), for which an exact solution is not known, except in a few special cases. Most of these formulas were conjectured by Luther and Peschel, Kadanoff, Haldane, but only checked in the special solvable models; one of them, related to the anisotropic Ashkin-Teller model, is novel.

Keywords: Universality, scaling relations, Ward identities, renormalization group