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.
Author details: | Frank Pfäffle, Christoph A. Stephan |
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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 |