O(N) models within the local potential approximation
High Energy Physics - Theory
2009-10-30 v3 Statistical Mechanics
High Energy Physics - Lattice
Abstract
Using Wegner-Houghton equation, within the Local Potential Approximation, we study critical properties of O(N) vector models. Fixed Points, together with their critical exponents and eigenoperators, are obtained for a large set of values of N, including N=0 and N\to\infty. Polchinski equation is also treated. The peculiarities of the large N limit, where a line of Fixed Points at d=2+2/n is present, are studied in detail. A derivation of the equation is presented together with its projection to zero modes.
Keywords
Cite
@article{arxiv.hep-th/9701028,
title = {O(N) models within the local potential approximation},
author = {Jordi Comellas and Alex Travesset},
journal= {arXiv preprint arXiv:hep-th/9701028},
year = {2009}
}
Comments
27 pages, LaTeX with psfig, 7 PostScript figures. One reference corrected and one added with respect to the journal version