The Critical Exponents Of The Matrix Valued Gross-Neveu Model
High Energy Physics - Theory
2009-10-30 v1 Condensed Matter
Abstract
We study the large N limit of the MATRIX valued Gross-Neveu model in 2<d<4 dimensions. The method employed is a combination of the approximate recursion formula of Polyakov and Wilson with the solution to the zero dimensional large N counting problem of Makeenko and Zarembo. The model is found to have a phase transition at a finite value for the critical temperature and the critical exponents are approximated by nu = 1/(2(d-2)) and eta=d-2. We test the validity of the approximation by applying it to the usual vector models where it is found to yield exact results to leading order in 1/N.
Keywords
Cite
@article{arxiv.hep-th/9607072,
title = {The Critical Exponents Of The Matrix Valued Gross-Neveu Model},
author = {Gabriele Ferretti},
journal= {arXiv preprint arXiv:hep-th/9607072},
year = {2009}
}
Comments
19 pages, LaTeX.2e + macro epsfig. Two eps figures, four LeTeX pictures