REGULARIZATION OF FIELD THEORY AND CHIRAL ANOMALIES
REGULARIZATION OF FIELD THEORY AND CHIRAL ANOMALIES
This chapter illustrates the regularization of field theory by taking quantum electrodynamics (QED) as an example, showing that the mass of the photon remains at 0 even after higher-order quantum corrections. The simplest example of the quantum breaking of chiral symmetry is also explained. The one-loop fermionic diagrams become fundamental in these considerations, and the gauge covariant regularization of one-loop Feynman diagrams for arbitrary theory is explained. It is shown that the chiral anomaly is defined independently of Feynman diagrams in perturbation theory. The basic idea of the Adler-Bardeen theorem, which asserts that identity with the chiral anomaly does not receive any higher-order corrections, is briefly discussed.
Keywords: quantum electrodynamics, QED, chiral symmetry, gauge covariant regularization, chiral anomaly, Feynman diagrams, perturbation theory, Adler-Bardeen theorem
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