Is the 2D O(3) Nonlinear $\sigma$ Model Asymptotically Free?
High Energy Physics - Lattice
2009-10-30 v1
Abstract
We report the results of a Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear model. The notable finding is that it agrees very well with both the prediction inspired by Zamolodchikovs' S-matrix ansatz and with the continuum limit of the dodecahedron spin model. The latter finding renders the existence of asymptotic freedom in the O(3) model rather unlikely.
Keywords
Cite
@article{arxiv.hep-lat/9706011,
title = {Is the 2D O(3) Nonlinear $\sigma$ Model Asymptotically Free?},
author = {Adrian Patrascioiu and Erhard Seiler},
journal= {arXiv preprint arXiv:hep-lat/9706011},
year = {2009}
}
Comments
10 pages