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Managing gamma_5 in Dimensional Regularization and ABJ Anomaly

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arxiv 1403.4212 v3 pith:VMBGPJE4 submitted 2014-03-17 hep-th hep-ph

classification hep-thhep-ph
keywords anomalydimensionalgammaregularizationassociatedchiralcovarianceequation
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An integral representation is proposed for the trace involving gamma_5 in dimensional regularization. Lorentz covariance is preserved. ABJ anomaly naturally follows. The Local Functional Equation associated to x-dependent chiral transformations is verified.

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  1. Gauge invariance and generalised $\eta$ regularisation

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    An extended η-regularisation formalism unifies dimensional, denominator, and Schwinger-proper-time regularisation as solutions of gauge consistency conditions, and reproduces the chiral anomaly when implemented with t...

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