An improved lattice measurement of the critical coupling in phi^4_2 theory
High Energy Physics - Lattice
2009-05-12 v1 Statistical Mechanics
Abstract
We use Monte Carlo simulations to obtain an improved lattice measurement of the critical coupling constant [lambda / mu^2]_crit for the continuum (1 + 1)-dimensional (lambda / 4) phi^4 theory. We find that the critical coupling constant depends logarithmically on the lattice coupling, resulting in a continuum value of [lambda / mu^2]_crit = 10.8(1), in considerable disagreement with the previously reported [lambda / mu^2]_crit = 10.26(8). Although this logarithmic behavior was not observed in earlier lattice studies, it is consistent with them, and expected analytically.
Keywords
Cite
@article{arxiv.0902.0045,
title = {An improved lattice measurement of the critical coupling in phi^4_2 theory},
author = {David Schaich and Will Loinaz},
journal= {arXiv preprint arXiv:0902.0045},
year = {2009}
}
Comments
14 pages, 5 figures