Trace anomaly and induced action for a metric-scalar background

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 standar...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-02, Vol.83 (2), p.157-12, Article 157
Main Authors: Asorey, Manuel, e Silva, Wagno Cesar, Shapiro, Ilya L., do Vale, Públio R. B.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Regularization
Scalars
String Theory
Symmetry
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Summary: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.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-11293-5