Existence of Algebraic Decay in Nonabelian Ferromagnets

Physics – Mathematical Physics

Scientific paper

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11 pages

Scientific paper

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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