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

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.

15 pages, LaTeX. Essentially extended version, in particular the discussion of the stability of the conformal factor in gravity theory with torsion and scalar added. Title also modified. To be published in Physics Letters B

References in corpus (2)

• Anomaly induced effective actions and Hawking radiation
• Anomalies, Unitarity and Quantum Irreversibility

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