Abstract
We prove the global Markov property for the Euclidean measure given by weak trigonometric interactions. To obtain this result we first prove a uniqueness theorem concerning the set of regular Gibbs measures corresponding to a given interaction.
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Albeverio, S., Høegh-Krohn, R. Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions. Commun.Math. Phys. 68, 95–128 (1979). https://doi.org/10.1007/BF01418123
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DOI: https://doi.org/10.1007/BF01418123