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Chiral asymmetry and the spectral action

  • 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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Author:Frank Pfäffle, Christoph A. Stephan
ISSN:0010-3616 (print)
ISSN:1432-0916 (online)
Parent Title (English):Communications in mathematical physics
Place of publication:New York
Document Type:Article
Year of first Publication:2013
Year of Completion:2013
Release Date:2017/03/26
First Page:283
Last Page:310
Funder:Deutsche Forschungsgemeinschaft [SFB 647]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert