Bonn 2010 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: Noncommutative Geometry

MP 11.1: Talk

Thursday, March 18, 2010, 09:30–09:55, JUR H

Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes — Thorsten Ohl and •Alexander Schenkel — Lehrstuhl für Theoretische Physik II, Universität Würzburg, 97074 Würzburg, Deutschland

In this talk (based on arXiv:0912.2252[hep-th]) we explain how to construct the quantum field theory of a free real scalar field on a class of noncommutative manifolds, obtained via deformation quantization using triangular Drinfel'd twists. We define action functionals in the framework of twist-deformed differential geometry, derive the associated equations of motion and solve them in terms of formal power series. In analogy to the commutative case, we can construct the Weyl algebra of field observables, which depends in general on the deformation of spacetime. We give an outlook to applications of our approach to noncommutative cosmology and black hole physics.