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On gravity, torsion and the spectral action principle

  • We consider compact Riemannian spin manifolds without boundary equipped with orthogonal connections. We investigate the induced Dirac operators and the associated commutative spectral triples. In case of dimension four and totally anti-symmetric torsion we compute the Chamseddine-Connes spectral action, deduce the equations of motions and discuss critical points.

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Metadaten
Author:Frank Pfäffle, Christoph A. Stephan
DOI:https://doi.org/10.1016/j.jfa.2011.11.013
ISSN:0022-1236 (print)
Parent Title (English):Journal of functional analysis
Publisher:Elsevier
Place of publication:San Diego
Document Type:Article
Language:English
Year of first Publication:2012
Year of Completion:2012
Release Date:2017/03/26
Tag:Chamseddine-Connes spectral action; Commutative geometries; Orthogonal connections with torsion; Spectral triples
Volume:262
Issue:4
Pagenumber:37
First Page:1529
Last Page:1565
Funder:Deutsche Forschungsgemeinschaft; SFB Raum-Zeit-Materie
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert