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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 8: Gravitation und Quantenfelder

MP 8.2: Talk

Wednesday, February 29, 2012, 09:10–09:35, ZHG 003

Quantum field theory on locally noncommutative spacetimes — •Gandalf Lechner¹ and Stefan Waldmann² — ¹Institut für Theoretische Physik, Uni Leipzig — ²Leuven University

A class of spacetimes which are noncommutative only in a prescribed region is presented. These spacetimes are obtained by a generalization of Rieffel’s deformation procedure to deformations of locally convex algebras and modules by smooth polynomially bounded Rⁿ-actions with compact support. Extending previous results of Bahns and Waldmann, it is shown how to perform such deformations in a strict sense. Some results on quantum fields propagating on locally noncommutative spacetimes are also given.