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Chiral Asymmetry and the Spectral Action |
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| Authors: | Frank Pfäffle Christoph A Stephan |
| Institution: | 1. Mathematisches Institut, Georg-August Universit?t G?ttingen, Bunsenstra?e 3-5, G?ttingen, Germany 2. Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universit?t Bonn, Endenicher Allee 60, Bonn, Germany 3. Fachbereich Mathematik, Universit?t Hamburg, Bundesstra?e 55, Hamburg, Germany 4. Institut für Mathematik, Universit?t Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany |
| Abstract: | We consider orthogonal connections with arbitrary torsion on compact Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators and Dirac operators of Chamseddine-Connes type we compute the spectral action. In addition to the Einstein-Hilbert action and the bosonic part of the Standard Model Lagrangian we find the Holst term from Loop Quantum Gravity, a coupling of the Holst term to the scalar curvature and a prediction for the value of the Barbero-Immirzi parameter. |
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