Fate of vector dominance in effective field theory.

Abstract

We reveal the full phase structure of the effective field theory for QCD, based on hidden local symmetry (HLS) through the one-loop renormalization group equation including quadratic divergences. We then show that vector dominance (VD) is not a sacred discipline of the effective field theory but rather an accidental phenomenon peculiar to three-flavored QCD. In particular, the chiral symmetry restoration in the HLS model takes place in a wide phase boundary surface, on which the VD is nowhere realized. This suggests that VD may not be valid for chiral symmetry restoration in hot and/or dense QCD.