Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-26
Commun.Math.Phys.300:877-888,2010
Physics
High Energy Physics
High Energy Physics - Theory
Longer introduction and conclusion added
Scientific paper
10.1007/s00220-010-1135-3
We derive a formula for the gravitational part of the spectral action for Dirac operators on 4-dimensional manifolds with totally anti-symmetric torsion. We find that the torsion becomes dynamical and couples to the traceless part of the Riemann curvature tensor. Finally we deduce the Lagrangian for the Standard Model of particle physics in presence of torsion from the Chamseddine-Connes Dirac operator.
Hanisch Florian
Pfaeffle Frank
Stephan Christoph A.
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