Sine-Gordon Revisited
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
We study the sine-Gordon model in two dimensional space time in two different domains. For beta > 8 pi and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the model is asymptotically free in the infrared. For beta < 8 pi and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalization group analysis shows that the model is asymptotically free in the ultraviolet.
Cite
@article{arxiv.math-ph/9907017,
title = {Sine-Gordon Revisited},
author = {J. Dimock and T. R. Hurd},
journal= {arXiv preprint arXiv:math-ph/9907017},
year = {2015}
}
Comments
43 pages, Latex 2.09