Abstract

A study of the new renormalization group equations is made, using the dimensional regularization scheme. It is shown, in a model-independent way, that these equations can be derived simply by writing the dimensional analysis for the regularized Green’s functions and next re-expressing the result in terms of renormalized parameters and fields. The solution, valid for arbitrary momenta, involves effective momentum-dependent masses and coupling constants. For spontaneously broken gauge theories the solution involves as well effective momentum-dependent vacuum expectation values and gauge parameters. We exemplify these features in the context of a spontaneously broken Abelian model where the roles of these effective momentum-dependent parameters are explicitly discussed.

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