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Dynamical torsion in view of a distinguished class of Dirac operators
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.