Karlsruhe 2011 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Noncommutative Spacetime

MP 3.1: Talk

Tuesday, March 29, 2011, 09:45–10:05, 30.45: 201

The spectral action for Dirac operators with torsion — •Christoph Stephan, Florian Hanisch, and Frank Pfäffle — Institut für Mathematik, Universität Potsdam, Deutschland

We derive a formula for the gravitational part of the spectral action for Dirac operators on 4-dimensional manifolds with torsion. We find that the torsion becomes dynamical and we deduce the Lagrangian for the Standard Model of particle physics in presence of torsion from the Chamseddine-Connes Dirac operator.