Monte Carlo Renormalization Group Analysis of Lattice $\phi^4$ Model in $D=3,4$
Statistical Mechanics
2009-10-31 v4 High Energy Physics - Lattice
Abstract
We present a simple, sophisticated method to capture renormalization group flow in Monte Carlo simulation, which provides important information of critical phenomena. We applied the method to lattice model and obtained renormalization flow diagram which well reproduces theoretically predicted behavior of continuum model. We also show that the method can be easily applied to much more complicated models, such as frustrated spin models.
Keywords
Cite
@article{arxiv.cond-mat/9905215,
title = {Monte Carlo Renormalization Group Analysis of Lattice $\phi^4$ Model in $D=3,4$},
author = {M. Itakura},
journal= {arXiv preprint arXiv:cond-mat/9905215},
year = {2009}
}
Comments
13 pages, revtex, 7 figures. v1:Submitted to PRE. v2:considerably reduced redundancy of presentation. v3:final version to appear in Phys.Rev.E