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Axial anomaly and dimensional regularization (A review)

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Czechoslovak Journal of Physics Aims and scope

Abstract

This is a brief review of some theoretical and practical aspects of the technique of dimensional regularization. A detailed general overview of theγ 5 problem and its solutions within various schemes of dimensional regularization is given and, as an example of practical calculation, we explicitly compute the VVA anomaly using differentγ 5 prescriptions. Apart from this topic, we present an elementary introduction to the subject of ultraviolet divergences in perturbative quantum field theory, regularization procedures, Ward identities and anomalies with a special stress on the axial anomaly in order to cover the background necessary for the rest of the review and to make it readable for non-specialists.

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  1. Nuclear Centre, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00, Praha 8, Czech Republic

    J. Novotný

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Novotný, J. Axial anomaly and dimensional regularization (A review). Czech J Phys 44, 633–661 (1994). https://doi.org/10.1007/BF01694837

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  • DOI: https://doi.org/10.1007/BF01694837

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