• Open Access

Universal Definition of the Nonconformal Trace Anomaly

Renata Ferrero, Sebastián A. Franchino-Viñas, Markus B. Fröb, and William C. C. Lima
Phys. Rev. Lett. 132, 071601 – Published 13 February 2024

Abstract

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.

  • Received 6 September 2023
  • Revised 12 December 2023
  • Accepted 4 January 2024

DOI:https://doi.org/10.1103/PhysRevLett.132.071601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Renata Ferrero1,2,*, Sebastián A. Franchino-Viñas3,4,†, Markus B. Fröb5,‡, and William C. C. Lima5,§

  • 1Institut für Physik (THEP), Johannes Gutenberg-Universität Mainz, Staudingerweg 7, 55128 Mainz, Germany
  • 2Institute for Quantum Gravity, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7, 91058 Erlangen, Germany
  • 3Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany
  • 4DIME, Università di Genova, Via all’Opera Pia 15, 16145 Genova, Italy
  • 5Institut für Theoretische Physik, Universität Leipzig, Brüderstraße 16, 04103 Leipzig, Germany

  • *renata.ferrero@fau.de
  • s.franchino-vinas@hzdr.de
  • mfroeb@itp.uni-leipzig.de
  • §williamcclima@gmail.com

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Issue

Vol. 132, Iss. 7 — 16 February 2024

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