Superinstantons and the Reliability of Perturbation Theory in Non-Abelian Models

1993/11/18 by A. Patrascioiu, Adrian Patrascioiu, Erhard Seiler +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat #hep-lat

paper · pdf · doi:10.1103/physrevlett.74.1920

published as Phys.Rev.Lett. 74 (1995) 1920-1923 · 8 pages, plain LaTeX, MPI-Ph/93-87 and AZPH-TH/93-33

arxiv created 1993/11/18 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In dimension D\ensuremath≤2 the low temperature behavior of systems enjoying a continuous symmetry is dominated by superinstantons: classical configurations of arbitrarily low energy. Perturbation theory in the background of a superinstanton produces thermodynamic answers for the invariant Green's functions that differ from the standard ones, but only in non-Abelian models and only starting at O(1/\ensuremathβ²). This effect modifies the \ensuremathβ-function models and persists in the large N limit of the O(N) models.

Citations

• The Difference between Abelian and Non-Abelian Models: Fact and Fancy
• Existence of Algebraic Decay in Nonabelian Ferromagnets

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