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Stochastic methods in quantum field theory and hydrodynamics
Authors:Sergio Albeverio  Raphael Høegh-Krohn
Affiliation:1. Université d''Aix Marseille II, UER Luminy, France;2. Mathematisches Institut, Ruhr-Universität, Bochum, Germany;3. Centre de Physique Théorique, CNRS, Marseille-Luminy, France;4. Matematisk Institutt, Universitetet i Oslo, Norway
Abstract:We give a review of recent work in quantum field theory and hydrodynamics, in which methods of stochastic analysis, in particular of stochastic equations, are used. The review includes the discussion of the canonical formalism for models of quantum fields as well as the discussion of statistical solutions of the Euler equations for the motion of an inviscid fluid.
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