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Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions

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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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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS, and Université d'Aix-Marseille II, UER de Luminy, F-Marseille, France

    Sergio Albeverio & Raphael Høegh-Krohn

  2. Matematisk Institutt, Universitetet i Oslo, Oslo, Norway

    Sergio Albeverio & Raphael Høegh-Krohn

Authors
  1. Sergio Albeverio
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  2. Raphael Høegh-Krohn
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Communicated by A. Jaffe

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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

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