Abstract
The phase diagram and the corresponding infinite volume Gibbs states are constructed for a large class of continuous, unbounded spin models. Our construction relies on a partition of unity mapping our system onto an interacting contour system, a generalisation of Zahradnik's approach to Piragov Sinai theory to interacting contour systems, and a suitable mean field expansion around the minimas of the Hamiltonian.
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Communicated by J. Fröhlich
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Borgs, C., Waxler, R. First order phase transitions in unbounded spin systemsI: Construction of the phase diagram. Commun.Math. Phys. 126, 291–324 (1989). https://doi.org/10.1007/BF02125127
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DOI: https://doi.org/10.1007/BF02125127