Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local Symmetry

Abstract

We study the chiral symmetry restoration using the generalized hidden local symmetry (GHLS) which incorporates the rho and A_1 mesons as the gauge bosons of the GHLS and the pion as the Nambu-Goldstone boson consistently with the chiral symmetry of QCD. We show that a set of parameter relations, which ensures the first and second Weinberg's sum rules, is invariant under the renormalization group evolution. Then, we found that the Weinberg's sum rules together with the matching of the vector and axial-vector current correlators inevitably leads to {\it the dropping masses of both rho and A_1 mesons} at the symmetry restoration point, and that the mass ratio as well as the mixing angle between the pion and A_1 meson flows into one of three fixed points.

arXiv comment17 pages, 7 figures; references added and discussions expanded

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• Vector and axialvector mesons at nonzero temperature within a gauged linear sigma model
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• 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
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• Matter formed at the BNL relativistic heavy ion collider
• Scalar Pseudo-Nambu-Goldstone Boson in Nuclei and Dense Nuclear Matter
• Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum
• Vector mesons at finite temperature and QCD sum rules
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• Spectral Function of Fermion Coupled with Massive Vector Boson at Finite Temperature in Gauge Invariant Formalism
• Novel spectral broadening from vector--axial-vector mixing in dense matter
• A novel spectral broadening from vector--axial-vector mixing in dense matter
• The dilepton probe in heavy-ion collisions
• STAR ${\rho }^0/{\pi }^{-}$ Ratio in Au-Au Peripheral Collisions at RHIC and the Vector Manifestation of Hidden Local Symmetry
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• Dileptons in Heavy-Ion Collisions
• Role of axial-vector mesons near the chiral phase transition
• Electromagnetic probes in heavy-ion collisions: Messengers from the hot and dense phase