The fate of the axial anomaly in a finite field theory

Grange, Pierre and Mathiot, Jean-Francois and Werner, Ernst (2020) The fate of the axial anomaly in a finite field theory. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 35 (5): 2050025. ISSN 0217-751X, 1793-656X

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Abstract

The conservation of the vector current and the axial anomaly responsible for the pi(0) -> gamma gamma decay amplitude are obtained in leading order within the Taylor-Lagrange formulation of fields considered as operator-valued distributions. As for gauge theories, where this formulation eliminates all divergences and preserves gauge symmetry, it is shown that the different contributions can be evaluated directly in four-dimensional space-time, with no restrictions whatsoever on the four-momentum of the internal loop, and without the need to introduce any additional nonphysical degrees of freedom like Pauli-Villars fields. We comment on the similar contributions responsible for the decay of the Higgs boson into two photons.

Item Type: Article
Uncontrolled Keywords: EPSTEIN-GLASER RENORMALIZATION; Quantum field theory; regularization; axial anomaly
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Mar 2021 07:16
Last Modified: 30 Mar 2021 07:16
URI: https://pred.uni-regensburg.de/id/eprint/45082

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