The Spectral Action for Dirac Operators with Skew-Symmetric Torsion
| Autor: | Christoph A. Stephan, Frank Pfäffle, Florian Hanisch |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
High Energy Physics - Theory
Physics Riemann curvature tensor Complex system FOS: Physical sciences Torsion (mechanics) Statistical and Nonlinear Physics Mathematical Physics (math-ph) Dirac operator Gravitation symbols.namesake High Energy Physics - Theory (hep-th) Mathematics::K-Theory and Homology symbols Skew-symmetric matrix Mathematics::Differential Geometry Mathematical Physics Lagrangian Mathematical physics |
| Zdroj: | Communications in Mathematical Physics. 300:877-888 |
| ISSN: | 1432-0916 0010-3616 |
| DOI: | 10.1007/s00220-010-1135-3 |
| Popis: | We derive a formula for the gravitational part of the spectral action for Dirac operators on 4-dimensional manifolds with totally anti-symmetric torsion. We find that the torsion becomes dynamical and couples to the traceless part of the Riemann curvature tensor. Finally we deduce the Lagrangian for the Standard Model of particle physics in presence of torsion from the Chamseddine-Connes Dirac operator. Comment: Longer introduction and conclusion added |
| Databáze: | OpenAIRE |
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