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arxiv: gr-qc/9907081 · v2 · submitted 1999-07-26 · 🌀 gr-qc

Conformal symmetry, anomaly and effective action for metric-scalar gravity with torsion

classification 🌀 gr-qc
keywords actiontorsionanomalyconformaleffectivescalarsomesymmetry
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We consider some aspects of conformal symmetry in a metric-scalar-torsion system. It is shown that, for some special choice of the action, torsion acts as a compensating field and the full theory is conformally equivalent to General Relativity on classical level. Due to the introduction of torsion, this equivalence can be provided for the positively-defined gravitational and scalar actions. One-loop divergences arising from the scalar loop are calculated and both the consequent anomaly and the anomaly-induced effective action are derived.

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