Phase transition and critical behaviour of the d=3 Gross-Neveu model
Statistical Mechanics
2009-11-07 v4 High Energy Physics - Theory
Abstract
A second order phase transition for the three dimensional Gross-Neveu model is established for one fermion species N=1. This transition breaks a paritylike discrete symmetry. It constitutes its peculiar universality class with critical exponent \nu = 0.63 and scalar and fermionic anomalous dimension \eta_\sigma = 0.31 and \eta_\psi = 0.11, respectively. We also compute critical exponents for other N. Our results are based on exact renormalization group equations.
Keywords
Cite
@article{arxiv.cond-mat/0203588,
title = {Phase transition and critical behaviour of the d=3 Gross-Neveu model},
author = {F. Hoefling and C. Nowak and C. Wetterich},
journal= {arXiv preprint arXiv:cond-mat/0203588},
year = {2009}
}
Comments
4 pages, 1 figure; v4 corresponds to the published article