Comparison between Theoretical Four-Loop Predictions and Monte Carlo Calculations in the Two-Dimensional $N$-Vector Model for $N=3,4,8$
High Energy Physics - Lattice
2009-10-28 v1
Abstract
We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice -vector model. This allows the determination of the second perturbative correction to various long-distance quantities like the correlation lengths and the susceptibilities. We compare these predictions with new Monte Carlo data for . From these data we also extract the values of various universal nonperturbative constants, which we compare with the predictions of the expansion.
Keywords
Cite
@article{arxiv.hep-lat/9509033,
title = {Comparison between Theoretical Four-Loop Predictions and Monte Carlo Calculations in the Two-Dimensional $N$-Vector Model for $N=3,4,8$},
author = {Sergio Caracciolo and Robert G. Edwards and Tereza Mendes and Andrea Pelissetto and Alan D. Sokal},
journal= {arXiv preprint arXiv:hep-lat/9509033},
year = {2009}
}
Comments
68456 bytes uuencoded gzip'ed (expands to 155611 bytes Postscript); 4 pages including all figures; contribution to Lattice '95