Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration

Abstract

We find that, when the dilaton is implemented as a (pseudo-)Nambu-Goldstone boson using a conformal compensator or "conformon" in a hidden gauge symmetric Lagrangian written to $O(p^4)$ from which baryons arise as solitons, namely, skyrmions, the vector manifestation and chiral symmetry restoration at high density predicted in hidden local symmetry theory --- which is consistent with Brown-Rho scaling --- are lost or sent to infinite density. It is shown that they can be restored if in medium the behavior of the $\omega$ field is taken to deviate from that of the $\rho$ meson in such a way that the flavor $U(2)$ symmetry is strongly broken at increasing density. The hitherto unexposed crucial role of the $\omega$ meson in the structure of elementary baryon and multibaryon systems is uncovered in this work. In the state of half-skyrmions to which the skyrmions transform at a density $n_{1/2}^{}\gtrsim n_0^{}$ (where $n_0^{}$ is the normal nuclear matter density), characterized by the vanishing (space averaged) quark condensate but nonzero pion decay constant, the nucleon mass remains more or less constant at a value $\gtrsim$ 60 \% of the vacuum value indicating a large component of the nucleon mass that is not associated with the spontaneous breaking of chiral symmetry. We discuss its connection to the chiral-invariant mass $m_0^{}$ that figures in the parity-doublet baryon model.

References in corpus (7)

• Light scalar at LHC: the Higgs or the dilaton?
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Symmetries of hadrons after unbreaking the chiral symmetry
• The Role of the Dilaton in Dense Skyrmion Matter
• Implications of Holographic QCD in ChPT with Hidden Local Symmetry
• Holographic QCD Integrated back to Hidden Local Symmetry
• Topology Change and Tensor Forces for the EoS of Dense Baryonic Matter

Cited by in corpus (24)

• Pentaquark and Tetraquark states
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Chiral density wave in nuclear matter
• Chiral-scale effective theory including a dilatonic meson
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Sound velocity and tidal deformability in compact stars
• Fractional Skyrmions and their molecules
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• A pseudo-conformal structure in dense baryonic matter
• Electromagnetic properties of the nucleon and the Roper resonance in soft-wall AdS/QCD at finite temperature
• Inhomogeneous quark condensate in compressed skyrmion matter
• Realistic classical binding energies in the $\omega$-Skyrme model
• Topology and emergent symmetries in dense compact star matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• Topology change, emergent symmetries and compact star matter
• Kaon Condensation in Baryonic Fermi Liquid at High Density
• Fractionized Skyrmions in Dense Compact-Star Matter
• Effects of scalar mesons in a Skyrme model with hidden local symmetry
• Magnetic field effect on nuclear matter from skyrmion crystal model
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model
• Finite density nuclear matter and neutron stars in hard-wall AdS/QCD model
• Chiral-Imbalance Density Wave in Baryonic Matters