Existence of Algebraic Decay in Nonabelian Ferromagnets

2000/02/09 by A. Patrascioiu, Adrian Patrascioiu, Patrascioiu, A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Magnetic properties of thin films #Mathematical Physics (math-ph) #Theoretical and Computational Physics #hep-lat #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0002028

11 pages

arxiv created 2000/02/09 · openalex publication_date 2000/02/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The low temperature regime of nonabelian two-dimensional ferromagnets is investigated. The method involves mapping such models into certain site-bond peroclation processes and using ergodicity in a novel fashion. It is concluded that all ferromagnets possessing a continuous symmetry (abelian or not) exihibit algebraic decay of correlations at sufficiently low temperatures.

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