000125748 001__ 125748 000125748 005__ 20241125101129.0 000125748 0247_ $$2doi$$a10.1140/epjc/s10052-023-11293-5 000125748 0248_ $$2sideral$$a133155 000125748 037__ $$aART-2023-133155 000125748 041__ $$aeng 000125748 100__ $$0(orcid)0000-0003-3669-6241$$aAsorey, M.$$uUniversidad de Zaragoza 000125748 245__ $$aTrace anomaly and induced action for a metric-scalar background 000125748 260__ $$c2023 000125748 5060_ $$aAccess copy available to the general public$$fUnrestricted 000125748 5203_ $$aThe 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. 000125748 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E21-17R$$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-095328-B-I00 000125748 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000125748 590__ $$a4.2$$b2023 000125748 592__ $$a1.451$$b2023 000125748 591__ $$aPHYSICS, PARTICLES & FIELDS$$b9 / 31 = 0.29$$c2023$$dQ2$$eT1 000125748 593__ $$aPhysics and Astronomy (miscellaneous)$$c2023$$dQ1 000125748 593__ $$aEngineering (miscellaneous)$$c2023$$dQ1 000125748 594__ $$a8.1$$b2023 000125748 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000125748 700__ $$ae Silva, W. C. 000125748 700__ $$aShapiro, I. L. 000125748 700__ $$ado Vale, P. R. B. 000125748 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000125748 773__ $$g83, 2 (2023), 157 [12 pp.]$$pEur. phys. j., C$$tThe European Physical Journal C$$x1434-6044 000125748 8564_ $$s405719$$uhttps://zaguan.unizar.es/record/125748/files/texto_completo.pdf$$yVersión publicada 000125748 8564_ $$s2617374$$uhttps://zaguan.unizar.es/record/125748/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000125748 909CO $$ooai:zaguan.unizar.es:125748$$particulos$$pdriver 000125748 951__ $$a2024-11-22-11:58:31 000125748 980__ $$aARTICLE