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

J. A. Helayel-Neto·A. Penna-Firme·I. L. Shapiro
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Abstract

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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J. A. Helayel-Neto, A. Penna-Firme, I. L. Shapiro. 2000-03-21. Conformal symmetry, anomaly and effective action for metric-scalar gravity with torsion. https://doi.org/10.1016/s0370-2693(00)00342-7

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