Thermal Dilepton Production from Dropping rho based on the Vector Manifestation

Abstract

We study the pion electromagnetic form factor and the dilepton production rate in hot matter using the hidden local symmetry theory as an effective field theory for pions and rho mesons. In this framework, the chiral symmetry restoration is realized as the vector manifestation (VM) in which the massless vector meson becomes the chiral partner of the pion, giving a theoretical support to the dropping rho a la Brown-Rho scaling. In the VM the vector dominance (VD) is strongly violated near the phase transition point associated with the dropping $\rho$. We show that the effect of the violation of the VD substantially suppresses the dilepton production rate compared with the one predicted by assuming the VD together with the dropping rho.

14 pages, 9 figures

References in corpus (35)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Reanalysis of Hadronic Cross Section Measurements at CMD-2
• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• First observation of in-medium modifications of the omega meson
• Experimental Signature of Medium Modifications for rho and omega Mesons in the 12 GeV p + A Reactions
• rho^0 Production and Possible Modification in Au+Au and p+p Collisions at sqrt(s_NN) = 200 GeV
• P-Wave Polarization of the $\rho$-Meson and the Dilepton Spectrum in Dense Matter
• Propagation of Cool Pions
• In-medium chiral perturbation theory beyond the mean-field approximation
• Observation of $\rho /\omega$ Meson Modification in Nuclear Matter
• Vector Manifestation of the Chiral Symmetry
• Chiral symmetry at finite temperature: linear vs nonlinear $\sigma$-models
• Matter-induced modification of resonances at RHIC freezeout
• Vector Manifestation in Hot Matter
• Wilsonian Matching of Effective Field Theory with Underlying QCD
• Vector Manifestation and Fate of Vector Mesons in Dense Matter
• Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local Symmetry
• Chiral Doubling of Heavy-Light Hadrons and the Vector Manifestation of Hidden Local Symmetry
• Pion electromagnetic form factor at finite temperature
• Fate of Vector Dominance in the Effective Field Theory
• Vector Manifestation and Violation of Vector Dominance in Hot Matter
• Effective Degrees of Freedom at Chiral Restoration and the Vector Manifestation in HLS theory
• Chemical Equilibration in Relativistic Heavy Ion Collisions
• Dilepton yields from Brown-Rho scaled vector mesons including memory effects
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• The Pion Velocity at Chiral Restoration and the Vector Manifestation
• Renormalization group equations in a model of generalized hidden local symmetry and restoration of chiral symmetry
• Medium Modifications of Vector Mesons and NA60
• Non-renormalization Theorem Originating in a New Fixed Point of the Vector Manifestation
• STAR ${\rho }^0/{\pi }^{-}$ Ratio in Au-Au Peripheral Collisions at RHIC and the Vector Manifestation of Hidden Local Symmetry
• First results from NA60 on low mass muon pair production in In-In collisions at 158 GeV/nucleon
• NA60 and BR Scaling in Terms of the Vector Manifestation: A Model Approach
• NA60 and BR Scaling In Terms of The Vector Manifestation: Formal Consideration
• Pion Velocity near the Chiral Phase Transition Point in the Vector Manifestation

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• Dynamics of Baryons from String Theory and Vector Dominance
• NA60 results on thermal dimuons
• The Chiral Restoration Transition of QCD and Low Mass Dileptons
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• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Chiral Symmetry and light resonances in hot and dense matter
• Vector-axialvector mixing from a chiral effective field theory at finite temperature
• Theory and Phenomenology of Vector Mesons in Medium
• The dilepton probe in heavy-ion collisions
• Measurability of phi, omega and rho mesons via di-electron decays in high-temperature states produced in heavy-ion collisions
• Thermal Dilepton Production from Dropping rho in the Vector Manifestation
• Dilepton Production from Dropping rho in the Vector Manifestation