Renormalization Ambiguities and Conformal Anomaly in Metric-Scalar Backgrounds

Abstract

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.

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

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• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• One-loop conformal anomaly in an implicit momentum space regularization framework
• Trace anomaly and induced action for a metric-scalar background
• Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
• Universality and ambiguity in fermionic effective actions
• Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms
• Scale anomaly in a Lorentz and CPT-violating Quantum Electrodynamics
• Anomaly-induced vacuum effective action with torsion: covariant solution and ambiguities