Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter

Abstract

We describe the mapping at high density of topological structure of baryonic matter to a nuclear effective field theory that implements hidden symmetries emergent from strong nuclear correlations. The theory so constructed is found to be consistent with no conflicts with the presently available observations in both normal nuclear matter and compact-star matter. The hidden symmetries involved are "local flavor symmetry" of the vector mesons identified to be (Seiberg-)dual to the gluons of QCD and hidden "quantum scale symmetry" with an IR fixed point with a "genuine dilaton (GD)" characterized by non-vanishing pion and dilaton decay constants. Both the skyrmion topology for $N_f\ge 2$ baryons and the fractional quantum Hall (FQH) droplet topology for $N_f=1$ baryons are unified in the "homogeneous/hidden" Wess-Zumino term in the hidden local symmetry (HLS) Lagrangian. The possible indispensable role of the FQH droplets in going beyond the density regime of compact stars approaching scale-chiral restoration is explored by moving toward the limit where both the dilaton and the pion go massless.

A few typo corrections in published version. arXiv admin note: substantial text overlap with arXiv:2103.01860

References in corpus (17)

• Compact stars with sequential QCD phase transitions
• Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
• Modified MIT Bag Models -- part II: QCD phase diagram and hot quark stars
• Rotating neutron stars with quark cores
• Constraints on the curvature of nuclear symmetry energy from recent astronomical data within the KIDS framework
• Skyrmions, Quantum Hall Droplets, and one current to rule them all
• Cusp in the Symmetry Energy, Speed of Sound in Neutron Stars and Emergent Pseudo-Conformal Symmetry
• The Quenched $g_A$ in Nuclei and Emergent Scale Symmetry in Baryonic Matter
• The Inhomogeneous Phase of Dense Skyrmion Matter
• Genuine Dilatons in Gauge Theories
• Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term
• From Quantum Wires to the Chern-Simons Description of the Fractional Quantum Hall Effect
• Inevitable emergence of composite gauge bosons
• Manifestation of Hidden Symmetries in Baryonic Matter: From Finite Nuclei to Neutron Stars
• Topology change, emergent symmetries and compact star matter
• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Multifarious roles of hidden chiral-scale symmetry:"Quenching" $g_A$ in nuclei