Vector-axialvector mixing from a chiral effective field theory at finite temperature

Abstract

We study the vector-axialvector mixing in a hot medium and its evolution toward the chiral phase transition using different symmetry restoration scenarios based on the generalized hidden local symmetry framework. We show that the presence of the $a_1$ meson reduces the vector spectral function around $\rho$ meson mass and enhances it around $a_1$ meson mass. The coupling strength of $a_1$ to $\rho$ and $\pi$ vanishes at the critical temperature due to the degenerate $\rho$-$a_1$ masses. This feature holds rigorously in the chiral limit and still stays intact to good approximation for the physical pion mass.

v2:11 pages, 6 figures, reorganized and expanded the text, new plots and references added, main result and conclusions unchanged

References in corpus (23)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• QCD Phenomenology based on a Chiral Effective Lagrangian
• The QCD Equation of State with almost Physical Quark Masses
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Current correlation functions, QCD sum rules and vector mesons in baryonic matter
• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• Dilepton Radiation at the CERN Super Proton Synchrotron
• Vector Manifestation of the Chiral Symmetry
• Dilepton and Photon Emission Rates from a Hadronic Gas
• Thermal Dimuon Yields at NA60
• Dilepton and Photon Emission Rates from a Hadronic Gas II
• Vector Manifestation in Hot Matter
• Temperature dependence of rho- and a_1-meson masses and mixing of vector and axial-vector correlators
• Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local Symmetry
• Vector Manifestation and Violation of Vector Dominance in Hot Matter
• Chemical Equilibration in Relativistic Heavy Ion Collisions
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Note on finite temperature sum rules for vector and axial-vector spectral functions
• Formulations of spin 1 resonances in the chiral lagrangian
• Theory and Phenomenology of Vector Mesons in Medium
• The dilepton probe in heavy-ion collisions
• What does the rho-meson do? In-medium mass shift scenarios versus hadronic model calculations

Cited by in corpus (8)

• The Chiral Restoration Transition of QCD and Low Mass Dileptons
• Vector mesons at finite temperature and QCD sum rules
• Quantitative sum rule analysis of low-temperature spectral functions
• Novel spectral broadening from vector--axial-vector mixing in dense matter
• A novel spectral broadening from vector--axial-vector mixing in dense matter
• Anomaly-induced Chiral Mixing in Cold and Dense Matter
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization