Dropping rho and A1 Meson Masses at the Chiral Phase Transition in the Generalized Hidden Local Symmetry

Abstract

In this contribution to the proceedings, we present our recent analysis on the chiral symmetry restoration in the generalized hidden local symmetry (GHLS) which incorporates the rho meson, $A_1$ meson and the pion consistently with the chiral symmetry of QCD. It is shown that a set of parameter relations, which ensures the first and second Weinberg sum rules, is invariant under the renormalization group evolution. Then, it is found that the Weinberg sum rules together with the matching of the vector and axial-vector current correlators to the OPE inevitably leads to {\it the dropping masses of both rho and $A_1$ mesons} at the symmetry restoration point, and that the mass ratio flows into one of three fixed points.