Universal Relations for Non Solvable Statistical Models
Statistical Mechanics
2013-05-29 v1 Mathematical Physics
math.MP
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
Cite
@article{arxiv.0909.2707,
title = {Universal Relations for Non Solvable Statistical Models},
author = {G. Benfatto and P. Falco and V. Mastropietro},
journal= {arXiv preprint arXiv:0909.2707},
year = {2013}
}
Comments
4 pages, no figure, letter