Abstract

A general procedure is presented for recasting a set of Feynman rules of vector field theories into another set by use of functional integration techniques. This procedure, when applied to the neutral vector meson coupled to a conserved current, allows us to recast conventional Feynman rules into the ones of arbitrary (even non-linear) gauges, and reveals the fact that this theory is manifestly renormalizable in any covariant (nonlinear) gauges. Likewise, the massive Yang-Mills theory can be converted into the one with a generalized Feynman gauge-like constraint, and it is then shown that the massive Yang-Mills field is not renormalizable.

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