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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 details:Frank Pfäffle, Christoph A. Stephan
DOI:https://doi.org/10.1007/s00220-012-1641-6
ISSN:0010-3616
ISSN:1432-0916
Title of parent work (English):Communications in mathematical physics
Publisher:Springer
Place of publishing:New York
Publication type:Article
Language:English
Year of first publication:2013
Publication year:2013
Release date:2017/03/26
Volume:321
Issue:2
Number of pages:28
First page:283
Last Page:310
Funding institution:Deutsche Forschungsgemeinschaft [SFB 647]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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