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Universal definition of the non-conformal trace anomaly

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arxiv 2312.07666 v2 pith:FV4QHJ63 submitted 2023-12-12 hep-th math-phmath.MP

Renata Ferrero , Sebastián A. Franchino-Viñas , Markus B. Fröb , William C. C. Lima This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords anomalydefinitionclassicaltraceuniversaladditionallyarisingclearly
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Conformally-flat gravitational analogues to the Schwinger effect

    hep-th 2026-02 accept novelty 6.0 of 10

    Resummed heat kernels yield exact scalar pair-creation probabilities in conformally flat spacetimes, including new curvature-induced Schwinger analogues, with the radiation-dominated rate verified independently in arb...

  2. Bounce solutions with quantum vacuum effects of massive fields and subsequent Starobinsky inflation

    gr-qc 2025-02 conditional novelty 5.0 of 10

    Quantum trace anomaly effects can produce a nonsingular cosmological bounce, and adding an R-squared term yields a trans-Planckian bounce followed by Starobinsky inflation.

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