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.
- Pub Date:
- March 1999
- Mathematical Physics;
- Mathematics - Mathematical Physics
- 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