Trace anomaly and induced action for a metric-scalar background
arXiv:2202.00154 · doi:10.1140/epjc/s10052-023-11293-5
Abstract
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.
arXiv commentExplanations and references added. Fits the version to be published in EPJC. 22 pages, no figures
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