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The Difference between Abelian and Non-Abelian Models: Fact and Fancy

Adrian Patrascioiu·Erhard Seiler
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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.

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Adrian Patrascioiu, Erhard Seiler. 1999-03-23. The Difference between Abelian and Non-Abelian Models: Fact and Fancy. https://arxiv.org/abs/math-ph/9903038

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