Comparison of analytic and numerical results in the XY-model
High Energy Physics - Lattice
2009-11-10 v1
Abstract
We study the two dimensional XY-model with high precision Monte Carlo techniques and investigate the continuum approach of the step-scaling function of its finite volume mass gap. The continuum extrapolated results are found consistent with analytic predictions for the finite volume energy spectrum based on the equivalence with sine-Gordon theory. To come to this conclusion it was essential to use an also predicted form of logarithmic decay of lattice artifacts for the extrapolation.
Cite
@article{arxiv.hep-lat/0309052,
title = {Comparison of analytic and numerical results in the XY-model},
author = {J. Balog and F. Knechtli and T. Korzec and U. Wolff},
journal= {arXiv preprint arXiv:hep-lat/0309052},
year = {2009}
}
Comments
3 pages, 1 figure, Lattice2003(higgs)