Scale invariance implies conformal invariance for the three-dimensional Ising model
Statistical Mechanics
2016-02-10 v4 High Energy Physics - Theory
Abstract
Using Wilson renormalization group, we show that if no integrated vector operator of scaling dimension exists, then scale invariance implies conformal invariance. By using the Lebowitz inequalities, we prove that this necessary condition is fulfilled in all dimensions for the Ising universality class. This shows, in particular, that scale invariance implies conformal invariance for the three-dimensional Ising model.
Keywords
Cite
@article{arxiv.1501.01776,
title = {Scale invariance implies conformal invariance for the three-dimensional Ising model},
author = {Bertrand Delamotte and Matthieu Tissier and Nicolás Wschebor},
journal= {arXiv preprint arXiv:1501.01776},
year = {2016}
}
Comments
Phys. Rev. E 93, 012144 (2016)