Freiburg 2008 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Nichtkommutative Geometrie

MP 7.5: Talk

Thursday, March 6, 2008, 15:20–15:40, KGI-HS 1023

Dirac Field on Moyal-Minkowski Spacetime — •Markus Borris and Rainer Verch — Inst. f. Theoretische Physik, Universität Leipzig, 04009 Leipzig

We present the Dirac field on Moyal-Minkowski spacetime as a model of quantum field theory on a Lorentzian non-commutative background spacetime. This provides an example for a quantum field theory on Lorentzian spectral geometries proposed by M. Paschke and R. Verch, and others. The scattering of the Dirac field coupled to a non-commutative potential term is investigated and it is shown that the scattering transformation is unitarily implementable in the vacuum Hilbert-space representation of the Dirac field. The way in which the scattering transformations induce observables of the Dirac field on Moyal-Minkowski spacetime, and their possible interpretation, will also be discussed.