https://doi.org/10.1140/epjc/s10052-023-11293-5
Regular Article - Theoretical Physics
Trace anomaly and induced action for a metric-scalar background
1
Centro de Astropartículas y Física de Altas Energías, Departamento de Física Teórica, Universidad de Zaragoza, 50009, Zaragoza, Spain
2
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-900, Juiz de Fora, Minas Gerais, Brazil
Received:
26
October
2022
Accepted:
2
February
2023
Published online:
17
February
2023
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.
© The Author(s) 2023
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