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The Abelian Higgs model is the simplest available, but it has to be considered in general R, gauges in order to avoid infrared divergences. A full derivation of the appropriate Nielsen identities in such gauges is given. Certain restrictions on the class of allowed R, gauges are found, which resolve some difficulties in the use of such gauges in effective potential calculations. The one loop calculations are performed using Jackiw's functional method. Explicit forms are obtained for the effective propagators required by Jackiw's formalism, for our generalized R, gauges; the model may therefore provide a useful laboratory for other investigations. The extension of the identities to spontaneously broken non-Abelian gauge theories is given.
๐ SIMILAR VOLUMES
A method based upon elementary quantum mechanics for constructing a path integral representation or spin amplitudes is described. A path integral representation obtained earlier for the unitary rotation matrices is rederived. In this system, the appropriate set of classical canonical variables and t