Dilaton-Limit Fixed Point in Hidden Local Symmetric Parity Doublet Model

Abstract

We study nucleon structure with positive and negative parities using a parity doublet model endowed with hidden local symmetry (HLS) with the objective to probe dense baryonic matter. The model -- that we shall refer to as "PDHLS model" for short -- allows a chiral-invariant mass of the nucleons unconnected to spontaneously broken chiral symmetry which comes out to be m_0 ~ 200 MeV at tree level from fitting to the decay width of the parity doubler, N(1535), to nucleon-pion and nucleon axial coupling g_A=1.267. The presence of a substantial m_0 that remains non-vanishing at chiral restoration presents a deep issue for the origin of the nucleon mass as well as will affect nontrivially the equation of state for dense baryonic matter relevant for compact stars. We construct a chiral perturbation theory at one-loop order and explore the phase structure of the model using renormalization group equations. We find a fixed point that corresponds exactly to the "dilaton limit" at which the HLS vector mesons decouple from the nucleons before reaching the vector manifestation fixed point. We suggest that cold baryonic system will flow to this limit as density increases toward that of chiral restoration.

22 pages, 6 figures

References in corpus (8)

• QCD and dimensional deconstruction
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Nuclear Matter and Neutron stars in a Parity Doublet Model
• Neutron stars within the SU(2) parity doublet model
• Axial charges of N(1535) and N(1650) in lattice QCD with two flavors of dynamical quarks
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Holographic QCD Integrated back to Hidden Local Symmetry

Cited by in corpus (48)

• Asymmetric nuclear matter in a parity doublet model with hidden local symmetry
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• An effective model for the QCD phase transitions at finite baryon density
• Quark-hadron crossover equations of state for neutron stars: constraining the chiral invariant mass in a parity doublet model
• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Chiral density wave in nuclear matter
• Chiral Mirror-Baryon-Meson Model and Nuclear Matter beyond Mean-Field
• Chiral-scale effective theory including a dilatonic meson
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Constraint to chiral invariant masses of nucleons from GW170817 in an extended parity doublet model
• Net-baryon number fluctuations in the Hybrid Quark-Meson-Nucleon model at finite density
• Vector and Axial-Vector Mesons in Nuclear Matter
• Hidden Local Symmetry and Infinite Tower of Vector Mesons for Baryons
• Chiral symmetry restoration and the $\Delta$ matter formation in neutron stars
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• A pseudo-conformal structure in dense baryonic matter
• Casimir effect for nucleon parity doublets
• Mirror versus naive assignment in chiral models for the nucleon
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Parity doubling of baryons in a chiral approach with three flavors
• Impacts of anomaly on nuclear and neutron star equation of state based on a parity doublet model
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Neutron star matter based on a parity doublet model including the $a_0(980)$ meson
• Topology and emergent symmetries in dense compact star matter
• Fluctuations near the liquid-gas and chiral phase transitions in hadronic matter
• Fluctuations and correlations of baryonic chiral partners
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Topology change, emergent symmetries and compact star matter
• Topology Change and Tensor Forces for the EoS of Dense Baryonic Matter
• SU(3) parity doubling in cold neutron star matter
• Scale symmetry and composition of compact star matter
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
• Glueball-glueball scattering and the glueballonium
• Interplay between chiral dynamics and repulsive interactions
• Nuclear structure in Parity Doublet Model
• Flavor Symmetry and Topology Change in Nuclear Symmetry Energy for Compact Stars
• Anatomy of critical fluctuations in hadronic matter
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• Composition of scalar mesons and their effects on nuclear matter properties in an extended linear sigma model
• A New Topological "Twist" to BR Scaling
• Selected Issues in Thermal Field Theory
• Cold Dense Baryonic Matter and Compact Stars
• Parity doubling structure of nucleon at non-zero density in the holographic mean field theory
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Suppression of the repulsive force in nuclear interactions near the chiral phase transition
• Chiral Symmetry Breaking, Trace Anomaly and Baryons in Hot and Dense Matter
• Dilatons in Dense Baryonic Matter