Local conformal symmetry and anomalies with antisymmetric tensor field

Ilya L. Shapiro

Local conformal symmetry and anomalies with antisymmetric tensor field

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arxiv 2504.01340 v1 pith:BPJ2ZVIO submitted 2025-04-02 hep-th gr-qc

Ilya L. Shapiro This is my paper · ORCID

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keywords anomalyactionantisymmetricconformalfieldlocalschemetensor

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We consider the trace anomaly, which results from the integration of the massless conformal fermion field with the background of metric and antisymmetric tensor fields. The non-local terms in the anomaly-induced effective action do not depend on the scheme of quantum calculations. On the other hand, total derivative terms in the anomaly and the corresponding local part of the induced action manifest scheme dependence and multiplicative anomaly.

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To renormalize QFT on curved spacetime with an external two-form background, one must add the scalar coupling ξ2 B^2 φ^2, as confirmed by a one-loop SU(2) calculation that generates this divergence; the coupling grows...

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