Constructive Approach to the Global
نویسندگان
چکیده
The trace properties of the sample paths of suuciently regular generalized random elds are studied. In particular, nice localisation properties are shown in the case of hyperplanes. Using techniques of Euclidean quantum eld theory a constructive description of the conditional expectation values with respect to some Gibbs measures describing Euclidean quantum eld theory models and the-algebras localised in halfspaces is given. In particular the Global Markov property with respect to hyperplanes follows from these constructions in an explicit way.
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