Universality and Ambiguities of the Conformal Anomaly

Details Universality and Ambiguities of the Conformal Anomaly Universality and Ambiguities of the Conformal Anomaly

2003-07-19

arxiv.org/abs/hep-th/0307187v1

Class.Quant.Grav.21:163-178,2003

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 18 pages

Scientific paper

10.1088/0264-9381/21/1/011

The one-loop structure of the trace anomaly is investigated using different regularizations and renormalization schemes: dimensional, proper time and Pauli-Villars. The universality of this anomaly is analyzed from a very general perspective. The Euler and Weyl terms of the anomalous trace of the stress tensor are absolutely universal. The pure derivative $ \square R$-term is shown to be universal only if the regularization breaks conformal symmetry softly. If the breaking of conformal symmetry by the regularization method is hard the coefficient of this term might become arbitrary which points out the presence of an ambiguous $ \int\sqrt{-g} R^2$-term in the effective quantum action. These ambiguities arise in some prescriptions of dimensional and Pauli-Villars regularizations. We discuss the implications of these results for anomaly-induced inflationary scenarios and AdS/CFT correspondence.

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