Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition

Abstract

We develop an effective field theory of QCD and QCD-like theories, based on the hidden local symmetry (HLS) model. We formulate the chiral perturbation theory with loops of rho as well as pi and further include quadratic divergences which are crucial to the chiral phase transition. Detailed calculations of the one-loop renormalization-group equation of the parameters of the HLS model are given, with the bare parameters (defined at cutoff Lambda) determined by the matching (``Wilsonian matching'') with the underlying QCD at Lambda through the operator-product expansion of current correlators. The Wilsonian matching predicts low energy phenomenology for the three-flavored QCD in remarkable agreement with the experiments. When the chiral symmetry restoration takes place in the underlying QCD, the HLS model uniquely leads to the Vector Manifestation (VM) as a new pattern of Wigner realization of chiral symmetry, with the rho becoming degenerate with the massless pi as the chiral partner. The VM is in fact realized in the large Nf QCD when Nf to Nf^{crit}-0, with Nf^{crit} = 5 Nc/3 being in rough agreement with the lattice simulation for Nc=3. The VM can be realized also in hot and/or dense QCD.

314 pages, 43 figures, 20 tables. To appear in Physics Reports. Minor corrections and typos in Sect.1, 4, 5, 6 and 9 in order to make the paper more readable. A footnote in Sec.6 has been expanded and moved into the text in Sec. 5 with some details

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• Chiral partner structure of heavy baryons from the bound state approach with hidden local symmetry
• In-medium omega meson mass and quark condensate in a Nambu Jona-Lasinio model constrained by recent experimental data
• $Z_b(10610)$ in a hadronic medium
• Chiral restoration at finite temperature with meson loop corrections
• Effects of scalar mesons in a Skyrme model with hidden local symmetry
• Review on dynamically generated resonances
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• CARLOMAT_3.0, an automatic tool for the electron-positron annihilation into hadrons at low energies
• QCD in the nuclear medium and effects due to Cherenkov gluons
• Baryon Resonances
• In Search of a Pristine Signal for (Scale-)Chiral Symmetry in Nuclei
• Dark Vector Mesons at LHC Forward Detector Searches
• The HLS approach to $(g-2{)}_{\mu }$~: A Solution to the "$\tau$ versus $e^{+}{e}^{-}$" Puzzle
• Integrating Holographic Vector Dominance to Hidden Local Symmetry for the Nucleon Form Factor
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter
• $J/\psi$ decay to $\varphi ,\omega ,K^{\ast 0}$ plus $f_0(1370)$, $f_0(1710)$, $K_0^{\ast }(1430)$, $f_2(1270)$, $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$: role of the $D$-wave for tensor production
• Anomalous $\omega$-$Z$-$\gamma$ Vertex from Hidden Local Symmetry
• Dual technicolor with hidden local symmetry
• $VP\gamma$ radiative decay of resonances dynamically generated from the vector meson-vector meson interaction
• A New Topological "Twist" to BR Scaling
• Dileptons in Heavy-Ion Collisions
• Effects of medium-induced $\rho -\omega$ meson mixing on the equation of state in isospin-asymmetric nuclear matter
• Vector meson masses in 2+1 flavor Wilson Chiral Perturbation Theory
• Properties of the vector meson nonet at large N_c beyond the chiral limit
• Higgsinoless Supersymmetry and Hidden Gravity
• The $D{\bar{D}}^{\ast }$ interaction with isospin zero in an extended hidden gauge symmetry approach
• Kaon-Soliton Bound State Approach to the Pentaquark States
• Nuclear Axial Currents from Scale-Chiral Effective Field Theory
• Investigations of the $D$-multi-$\rho$ interactions
• The Problem of Mass: Mesonic Bound States Above T_c
• Semileptonic decay of $B_c^{-}$ into $X(3930)$, $X(3940)$, $X(4160)$
• Spectrum-doubled Heavy Vector Bosons at the LHC
• States generated in the $K$-multi-$\rho$ interactions
• Nonlinear rigid-body quantization of Skyrmions
• Asymmetry observables in e+ e- --> pi+ pi- gamma in the phi region within a chiral unitary approach
• Finding Interaction Mechanism between Exotic Molecule and Conventional Hadron
• Fate of ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons at high temperature with chiral restoration
• Scalar and fermion on-shell amplitudes in generalized Higgs effective field theory
• Wess-Zumino-Witten Interactions of Axions: Three-Flavor
• Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
• Cold Compressed Baryonic Matter with Hidden Local Symmetry and Holography
• Magnetic field effect on nuclear matter from skyrmion crystal model
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• Going from Asymmetric Nuclei to Neutron Stars to Tidal Polarizability in Gravitational Waves
• Multi-track Displaced Vertices at B-Factories
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• Dilatons for Dense Hadronic Matter
• Dynamically generated resonances
• An alternative attractor in gauged NJL inflation
• Thermal Dilepton Production from Dropping rho in the Vector Manifestation
• Radiative decay into gamma-baryon of dynamically generated resonances from the vector-baryon interaction
• The Dropping of In-Medium Hadron Mass in Holographic QCD
• Origin of Mass - Horizons Expanding from the Nambu's Theory
• Asymmetric vector mesons produced in nuclear collisions
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Revisiting the chiral effective action in holographic models
• The Problem of Mass: Mesonic Bound States Above Tc
• Study of the ${\eta }^{\prime }$ $\to$ $V{e}^{+}{e}^{-}$ decay with hidden local symmetry model
• Deconfinement, naturalness and the nuclear-quark equation of state
• P-wave $c\bar{c}$ meson contributions in exotic hadrons
• Three body systems with strangeness and exotic systems
• Composite Z'
• ${\bar{K}}^{\ast }$ meson in nuclear matter
• Electromagnetic Radiation and in-Medium Effects
• Dilepton Production from Dropping rho in the Vector Manifestation
• New Types of Hydrogenlike matter Composed of Electron(s) and Meson(s)
• Nuclear medium effects on the ${\bar{K}}^{\ast }$ meson
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter
• Vector Manifestation and the Hidden Local Symmetry
• Sakai-Sugimoto Model in an Off-Shell: Chiral Lagrangian to All Orders
• Predicting charmed-strange molecular tetraquarks with $K^{(\ast )}$ and $T$-doublet charmed or anticharmed meson
• Unified Approach to Dense Matter
• Finite density nuclear matter and neutron stars in hard-wall AdS/QCD model