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Deformations of Operator Algebras and the Construction of Quantum Field TheoriesSeptember 16th, 2009

G. Lechner - In "XVIth International Congress on Mathematical Physics" (Proceedings of the ICMP 2009 in Prague), Exner (Ed.), World Scientific (2009)
Abstract:

This note outlines a novel approach to the construction of quantum field theories on four-dimensional Minkowski space, which is based on operator-algebraic techniques. It is explained how Rieffel deformations can be used to deform quantum field theories in a manner which is compatible with Poincare covariance and locality.

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