How to renormalize a quantum gauge field theory with chiral fermions
Abstract
We propose using the method of subtraction to renormalize quantum gauge theories with chiral fermions and with spontaneous symmetry breaking. The Ward-Takahashi identities derived from the BRST invariance in these theories are complex and rich in content. We demonstrate how to use these identities to determine relationships among renormalization constants of the theory and obtain the subtraction constants needed for the renormalization procedure. We have found it particularly convenient to adopt the Landau gauge throughout the scheme. The method of renormalization by subtraction enables one to calculate physical quantities in the theory in the form of a renormalized perturbation series which is unique and definite. There is no ambiguity in handling the γ5 matrix associated with chiral fermions.
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