The Holst action by the spectral action principle
We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields.
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Universität Potsdam
2012
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60032 http://opus.kobv.de/ubp/volltexte/2012/6003/ |
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ndltd-Potsdam-oai-kobv.de-opus-ubp-60032013-06-11T03:31:32Z The Holst action by the spectral action principle Pfäffle, Frank Stephan, Christoph A. Mathematics We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2012 Preprint application/pdf urn:nbn:de:kobv:517-opus-60032 http://opus.kobv.de/ubp/volltexte/2012/6003/ arXiv:1102.0954v4 [math-ph] 27 Mar 2012 eng http://opus.kobv.de/ubp/doku/urheberrecht.php |
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NDLTD |
| language |
English |
| format |
Others
|
| sources |
NDLTD |
| topic |
Mathematics |
| spellingShingle |
Mathematics Pfäffle, Frank Stephan, Christoph A. The Holst action by the spectral action principle |
| description |
We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields. |
| author |
Pfäffle, Frank Stephan, Christoph A. |
| author_facet |
Pfäffle, Frank Stephan, Christoph A. |
| author_sort |
Pfäffle, Frank |
| title |
The Holst action by the spectral action principle |
| title_short |
The Holst action by the spectral action principle |
| title_full |
The Holst action by the spectral action principle |
| title_fullStr |
The Holst action by the spectral action principle |
| title_full_unstemmed |
The Holst action by the spectral action principle |
| title_sort |
holst action by the spectral action principle |
| publisher |
Universität Potsdam |
| publishDate |
2012 |
| url |
http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60032 http://opus.kobv.de/ubp/volltexte/2012/6003/ |
| work_keys_str_mv |
AT pfafflefrank theholstactionbythespectralactionprinciple AT stephanchristopha theholstactionbythespectralactionprinciple AT pfafflefrank holstactionbythespectralactionprinciple AT stephanchristopha holstactionbythespectralactionprinciple |
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1716588882464604160 |