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Conference on "Variational and spectral methods in Quantum Field Theory"
Organizers: Volker Bach (Braunschweig), Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Eric Séré (Paris-Dauphine)
Zied Ammari (Rennes, France): "Classical limit and mean field theory by transportation of measure"
Wednesday 24 April 2013, 11:45 - 12:30
Amphi Hermite
Abstract: I will present a general framework in which the classical limit of self-interacting Bose field theory and mean field theory are interpreted as a measure transportation problem. This provides an interesting link between quantum field theory and transport theory on infinite dimensional spaces and allows to prove several results.