High-accuracy critical exponents of O(N) hierarchical sigma models
High Energy Physics - Theory
2009-11-11 v1 Statistical Mechanics
High Energy Physics - Lattice
Abstract
We perform high-accuracy calculations of the critical exponent gamma and its subleading exponent for the 3D O(N) Dyson's hierarchical model, for N up to 20. We calculate the critical temperatures for the nonlinear sigma model measure. We discuss the possibility of extracting the first coefficients of the 1/N expansion from our numerical data. We show that the leading and subleading exponents agreewith Polchinski equation and the equivalent Litim equation, in the local potential approximation, with at least 4 significant digits.
Keywords
Cite
@article{arxiv.hep-th/0511194,
title = {High-accuracy critical exponents of O(N) hierarchical sigma models},
author = {J. J. Godina and L. Li and Y. Meurice and M. B. Oktay},
journal= {arXiv preprint arXiv:hep-th/0511194},
year = {2009}
}
Comments
4 pages, 2 Figs., uses revtex