Fate of Vector Dominance in the Effective Field Theory

Abstract

We reveal the full phase structure of the effective field theory for QCD, based on the hidden local symmetry (HLS) through the one-loop renormalization group equation including quadratic divergences. We then show that vector dominance (VD) is not a sacred discipline of the effective field theory but rather an accidental phenomenon peculiar to three-flavored QCD. In particular, the chiral symmetry restoration in HLS model takes place in a wide phase boundary surface, on which the VD is realized nowhere. This suggests that VD may not be valid for chiral symmetry restoration in hot and/or dense QCD.

arXiv comment4 pages, 3 figures. One reference added. Minor modification to shorten the manuscript. This is the version to appear in Physical Review Letters

References in corpus (14)

• Current correlation functions, QCD sum rules and vector mesons in baryonic matter
• Chiral Restoration in Hot and/or Dense Matter
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Vector Manifestation of the Chiral Symmetry
• Where does the Rho Go? Chirally Symmetric Vector Mesons in the Quark--Gluon Plasma.
• Hidden Local Symmetry at One Loop
• Wilsonian Matching of Effective Field Theory with Underlying QCD
• Chiral Perturbation to One Loop Including the $\rho$ Meson
• Conformal Phase Transition and Fate of the Hidden Local Symmetry in Large N_f QCD
• Proving the Low Energy Theorem of Hidden Local Symmetry
• Quantum Chromodynamics with Many Flavors
• Axial Anomaly and Transition Form Factors
• Low Energy Theorems of Hidden Local Symmetries
• Interpolating Axial Anomaly Induced Amplitudes

Cited by in corpus (24)

• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Dynamics of Baryons from String Theory and Vector Dominance
• Nucleon Form Factors and Hidden Symmetry in Holographic QCD
• Vector Meson Dominance Model for Radiative Decays Involving Light Scalar Mesons
• Photon Emission from Dense Quark Matter
• Vector Manifestation and Fate of Vector Mesons in Dense Matter
• Sound velocity and tidal deformability in compact stars
• Chiral approach to phi radiative decays
• (Un)determined finite regularization dependent quantum corrections: the Higgs decay into two photons and the two photon scattering examples
• A pseudo-conformal structure in dense baryonic matter
• Vector Manifestation and Violation of Vector Dominance in Hot Matter
• Effective Degrees of Freedom at Chiral Restoration and the Vector Manifestation in HLS theory
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Theoretical approaches to hadrons in nuclear matter
• Photon and dilepton emission rates from high density quark matter
• How to preserve symmetries with cut-off regularized integrals?
• On the two-photon contributions to $e^{+}{e}^{-}\to \eta \gamma$ and $e^{+}{e}^{-}\to {\eta }^{\prime }\gamma$
• pi+ pi0 Mass Difference in the Hidden Local Symmetry: A Dynamical Origin of Little Higgs
• Chiral restoration from pionic atoms?
• Connection between Chiral Symmetry Restoration and Deconfinement
• Kaon-Soliton Bound State Approach to the Pentaquark States
• Pentaquarks, Skyrmions and the Vector Manifestation of Chiral Symmetry
• Fixed-Point Analysis of the Low-Energy Constants in the Pion-Nucleon Chiral Lagrangian
• Thermal Dilepton Production from Dropping rho in the Vector Manifestation