The Difference between Abelian and Non-Abelian Models: Fact and Fancy
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The commonly accepted belief that non-Abelian and Abelian models are different because of the presence/absence of instantons and/or perturbative asymptotic freedom is analyzed from a historical perspective. The presentation covers the major developments which brought about this dogma, as well as all the supportive evidence produced since. For a model possessing both asymptotic freedom and instantons it is shown rigorously that a disorder variable varies nonanalytically with the temperature.
Cite
@article{arxiv.math-ph/9903038,
title = {The Difference between Abelian and Non-Abelian Models: Fact and Fancy},
author = {Adrian Patrascioiu and Erhard Seiler},
journal= {arXiv preprint arXiv:math-ph/9903038},
year = {2007}
}
Comments
20 pages, no figures. This paper reflects the state of affairs as it was in 1991. In some areas there have been important developments since then