Renormalization Ambiguities and Conformal Anomaly in Metric-Scalar Backgrounds

Details Renormalization Ambiguities and Conformal Anomaly in Metric-Scalar Backgrounds Renormalization Ambiguities and Conformal Anomaly in Metric-Scalar Backgrounds

2006-09-20

arxiv.org/abs/hep-th/0609138v2

Phys.Rev.D74:124011,2006

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 10 pages, no figures. Small comment and two references added. Accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.74.124011

We analyze the problem of the existing ambiguities in the conformal anomaly in theories with external scalar field in curved backgrounds. In particular, we consider the anomaly of self-interacting massive scalar field theory and of Yukawa model in the massless conformal limit. In all cases the ambiguities are related to finite renormalizations of a local non-minimal terms in the effective action. We point out the generic nature of this phenomenon and provide a general method to identify the theories where such an ambiguity can arise.

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