Extended scaling relations for planar lattice models
Statistical Mechanics
2015-05-13 v1 Mathematical Physics
math.MP
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].
Cite
@article{arxiv.0811.3218,
title = {Extended scaling relations for planar lattice models},
author = {G. Benfatto and P. Falco and V. Mastropietro},
journal= {arXiv preprint arXiv:0811.3218},
year = {2015}
}
Comments
32 pages, 7 fig