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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

Universal definition of the non-conformal trace anomaly

classification hep-th math-phmath.MP
keywords anomalydefinitionclassicaltraceuniversaladditionallyarisingclearly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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