Renormalization group equations in a model of generalized hidden local symmetry and restoration of chiral symmetry

We study possible restoration patterns of chiral symmetry in a generalized hidden local symmetry model, which is a low energy effective theory of QCD including pseudo-scalar, vector and axial-vector mesons. We derive Wilsonian renormalization group equations and analyze the running couplings and their fixed points at the chiral restoration point. We find three types of the chiral restoration, which are classified as the standard, vector manifestation and intermediate scenarios, respectively. It turns out that the rho and A_1 meson become massless and their decay into pion is suppressed in all the restoration patterns. The each restoration scenario violates or fulfills the vector meson dominance at the critical point in a different manner, which may reflect on the contributions from the pion to the dilepton spectrum.