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Dynamical torsion in view of a distinguished class of Dirac operators
Jürgen TolksdorfAbstract
In this paper we discuss geometric torsion in terms of a distinguished class of Dirac operators. We demonstrate that from this class of Dirac operators a variational problem for torsion can be derived similar to that of Yang-Mills gauge theory. As a consequence, one ends up with a propagating torsion even in vacuum as opposed to the usual variational problem encountered in ordinary Einstein-Cartan theory.
- Received:
- 17.02.14
- Published:
- 25.02.14
- MSC Codes:
- 15A66, 49S05, 53C80
- PACS:
- 11,15.q, 45.10.Na, 02.40.Hw
- Keywords:
- clifford modules, Dirac operators, Torsion