Abstract

It is shown that non-Abelian gauge theories can be renormalizable even when the gauge condition contains terms quadratic in field variables. When the gauge condition is non-linear, the conventional Ward-Takahashi identities are not very useful since they depend on the gauge condition explicitly. With the aid of a set of scalar fields newly introduced, the above unwanted dependence can be removed; correspondingly, the investigation into the renormalizability of gauge theories formulated in non-linear gauges is greatly simplified and is carried through in much the same way as in linear gauges. A brief discussion is also given of the renormalization of massive and massless quantum electrodynamics with non-linear gauge conditions.

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