In VEP formalism the off-shell spin connection admits a one-parameter family of conformal transformations interpolating between Nieh-Yan and conformally invariant torsion; dynamically generated torsion lacks well-defined conformal properties and affects fermions and conformal scalars.
Conformal Gravity with Dirac Matter
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abstract
Recently, we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of the Dirac matter field: we shall see that in this case the trace condition becomes trivial, but further constraints arise, which will impose severe limitations on the dynamics of such a system.
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gr-qc 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Different types of torsion and their effect on the dynamics of fields
In VEP formalism the off-shell spin connection admits a one-parameter family of conformal transformations interpolating between Nieh-Yan and conformally invariant torsion; dynamically generated torsion lacks well-defined conformal properties and affects fermions and conformal scalars.