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We study, using the example of general covariance, to what extent a would-benon-abelian extension of free field abelian gauge theory can be helped by afield redefinition; answer - not much! However, models resulting fromdimensional reduction also include non-gauge fields to be integrated out,thereby offering a wider choice of redefinitions whose effects may indeed proveuseful.

Field redefinition's help in constructing non-abelian gauge theories