Universal definition of the non-conformal trace anomaly

Fuente: arXiv
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Hauptverfasser: Ferrero, Renata, Franchino-Viñas, Sebastián A., Fröb, Markus B., Lima, William C. C.
Format: Preprint
Veröffentlicht: 2023
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author Ferrero, Renata
Franchino-Viñas, Sebastián A.
Fröb, Markus B.
Lima, William C. C.
author_facet Ferrero, Renata
Franchino-Viñas, Sebastián A.
Fröb, Markus B.
Lima, William C. C.
contents We show that there exists a generalized, universal notion of the trace anomaly for theories which are not conformally invariant at the classical level. The definition is suitable for any regularization scheme and clearly states to what extent the classical equations of motion should be used, thus resolving existing controversies surrounding previous proposals. Additionally, we exhibit the link between our definition of the anomaly and the functional Jacobian arising from a Weyl transformation.
format Preprint
id arxiv_https___arxiv_org_abs_2312_07666
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Universal definition of the non-conformal trace anomaly
Ferrero, Renata
Franchino-Viñas, Sebastián A.
Fröb, Markus B.
Lima, William C. C.
High Energy Physics - Theory
Mathematical Physics
We show that there exists a generalized, universal notion of the trace anomaly for theories which are not conformally invariant at the classical level. The definition is suitable for any regularization scheme and clearly states to what extent the classical equations of motion should be used, thus resolving existing controversies surrounding previous proposals. Additionally, we exhibit the link between our definition of the anomaly and the functional Jacobian arising from a Weyl transformation.
title Universal definition of the non-conformal trace anomaly
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2312.07666