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Trace anomaly and induced action for a metric-scalar background
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The conformal anomaly and anomaly-induced effective action represent useful and economic ways to describe semiclassical contributions to the action of gravity. We discuss the anomaly in the case when the background is formed by metric and scalar fields and formulate the induced action in two standard covariant forms. The analysis of induced action at low energies reveals existing connection to the renormalization group and effective potential. The classification of anomalous terms is extended to the scalar background and ambiguities in the total derivative terms in the anomaly are considered using Pauli-Villars regularization.
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Cited by 2 Pith papers
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Low-energy limit in the anomaly-induced action and the semiclassical cosmological bounce
The authors construct a covariant, second-order local form of the low-energy anomaly-induced effective action and show numerically that it supports nonsingular bouncing cosmological solutions.
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Renormalizable quantum field theory in curved spacetime with external two-form field
To renormalize QFT on curved spacetime with an external two-form background, one must add the scalar coupling ξ2 B^2 φ^2, as confirmed by a one-loop SU(2) calculation that generates this divergence; the coupling grows...
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