Scale-chiral symmetry, $\omega$ meson and dense baryonic matter

Abstract

It is shown that explicitly broken scale symmetry is essential for dense skyrmion matter in hidden local symmetry theory. Consistency with the vector manifestation fixed point for the hidden local symmetry of the lowest-lying vector mesons and the dilaton limit fixed point for scale symmetry in dense matter is found to require that the anomalous dimension (${\gamma }_{G^2}$) of the gluon field strength tensor squared ($G^2$) that represents the quantum trace anomaly should be $0<{\gamma }_{G^2}<3$.

References in corpus (6)

• Light scalar at LHC: the Higgs or the dilaton?
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Scheme-Independent Series Expansions at an Infrared Zero of the Beta Function in Asymptotically Free Gauge Theories
• The Role of the Dilaton in Dense Skyrmion Matter
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Hidden Local Symmetry and Beyond

Cited by in corpus (10)

• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Constraint to chiral invariant masses of nucleons from GW170817 in an extended parity doublet model
• The Quenched $g_A$ in Nuclei and Emergent Scale Symmetry in Baryonic Matter
• Realistic classical binding energies in the $\omega$-Skyrme model
• Topology and emergent symmetries in dense compact star matter
• Topology change, emergent symmetries and compact star matter
• Scale symmetry and composition of compact star matter
• Multifarious roles of hidden chiral-scale symmetry:"Quenching" $g_A$ in nuclei
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter