Abstract
We show that it is possible to formulate gauge theories of massive vector fields without introducing physical scalar fields. Examples of such gauge theories are provided by applications of our treatment to the massive Yang-Mills field, a charged vector field interacting with the photon field, and a model of weak and electromagnetic interactions. One-loop renormalizability of each of these systems is discussed. It is suggested that instead of postulating the existence of hypothetical particles to obtain renormalizable gauge theories, it might be worthwhile to construct gauge theories with limited renormalizability by using the formalism described here.
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