Abstract
Under fairly general conditions if a two dimensional classical lattice system has an internal symmetry groupG, which is a compact connected Lie group, then all Gibbs states areG-invariant.
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Communicated by E. Lieb
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Pfister, CE. On the symmetry of the Gibbs states in two dimensional lattice systems. Commun.Math. Phys. 79, 181–188 (1981). https://doi.org/10.1007/BF01942060
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DOI: https://doi.org/10.1007/BF01942060