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CP-violating CFT and trace anomaly

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arxiv 1201.3428 v2 pith:WTX3NVAT submitted 2012-01-17 hep-th

Yu Nakayama This is my paper · ORCID
classification hep-th
keywords anomalytraceconformalhirzebruch-pontryaginpossibletermtheoriesalthough
verification ladder T0 review T1 audit T2 compute T3 formal
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It is logically possible that the trace anomaly in four dimension includes the Hirzebruch-Pontryagin density in CP violating theories. Although the term vanishes at free conformal fixed points, we realize such a possibility in the holographic renormalization group and show that it is indeed possible. The Hirzebruch-Pontryagin term in the trace anomaly may serve as a barometer to understand how much CP is violated in conformal field theories.

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  1. Weyl fermions in a non-abelian gauge background and trace anomalies

    hep-th 2019-08 accept novelty 6.0 of 10

    The trace anomaly of four-dimensional Weyl fermions in a non-abelian gauge background is (1/48 pi^2) tr F^2 with no parity-odd Chern-Pontryagin contribution, derived via Pauli-Villars regularization.

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