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

Abstract

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.

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• Chiral Perturbation to One Loop Including the $\rho$ Meson
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• Effect of pion thermal width on the sigma spectrum

Cited by in corpus (11)

• Hadron properties in the nuclear medium
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Late Hadronization and Matter Formed at RHIC: Vector Manifestation, Brown-Rho Scaling and Hadronic Freedom
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• A pseudo-conformal structure in dense baryonic matter
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Matter formed at the BNL relativistic heavy ion collider
• Scalar Pseudo-Nambu-Goldstone Boson in Nuclei and Dense Nuclear Matter
• How to preserve symmetries with cut-off regularized integrals?
• Spectral Function of Fermion Coupled with Massive Vector Boson at Finite Temperature in Gauge Invariant Formalism
• STAR ${\rho }^0/{\pi }^{-}$ Ratio in Au-Au Peripheral Collisions at RHIC and the Vector Manifestation of Hidden Local Symmetry