1999/03/23 by Adrian Patrascioiu, Patrascioiu, Adrian, Erhard Seiler +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Stochastic processes and statistical mechanics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/9903038
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
arxiv created 1999/03/23 · openalex publication_date 1999/03/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.