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THE QUANTUM MECHANICS OF THE GAUGE INVARIANT XY MODEL

Michael Green, Nigel H. Parsons, Pavao Senjanović

Published Jan 1, 1978• 0 citations
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arXiv:math/0409601•Reviews in Mathematical Physics•May 1, 2005•3 citations
A gauge-invariant C*-system is obtained as the fixed point subalgebra of the infinite tensor product of full matrix algebras under the tensor product unitary action of a compact group. In this paper, thermodynamics is studied in such systems and the chemical potential theory developed by Araki, Haag, Kastler and Takesaki is used. As a generalization of quantum spin system, the equivalence of the KMS condition, the Gibbs condition and the variational principle is shown for translation-invariant states. The entropy density of extremal equilibrium states is also investigated in relation to macroscopic uniformity.