Inhomogeneous quark condensate in compressed skyrmion matter

Abstract

The inhomogeneous quark condensate, responsible for dynamical chiral symmetry breaking in cold nuclear matter, is studied by putting skyrmions onto the face-centered cubic crystal and treating the skyrmion matter as nuclear matter. By varying the crystal size, we explore the effect of density on the local structure of the quark-antiquark condensate. By endowing the light vector mesons $\rho$ and $\omega$ with hidden local symmetry and incorporating a scalar meson as a dilaton of spontaneously broken scale symmetry, we uncover the intricate interplay of heavy mesons in the local structure of the quark condensate in dense baryonic matter described in terms of skyrmion crystal. It is found that the inhomogeneous quark density persists to as high a density as $\sim 4$ times nuclear matter density. The difference between the result from the present approach and that from the chiral density wave ansatz is also discussed.

References in corpus (18)

• "Deconfined" quantum critical points
• Low energy hadron physics in holographic QCD
• More on a holographic dual of QCD
• Quarkyonic Chiral Spirals
• Chiral symmetry and density wave in quark matter
• Chiral Dynamics of Baryons from String Theory
• $\Delta I=1/2$ rule for kaon decays derived from QCD infrared fixed point
• Skyrmions in a truncated BPS theory
• A Unified Approach to High Density: Pion Fluctuations in Skyrmion Matter
• Chiral density wave in nuclear matter
• Dyson-Schwinger study of chiral density waves in QCD
• Dense Baryonic Matter in Hidden Local Symmetry Approach: Half-Skyrmions and Nucleon Mass
• Sliding Vacua in Dense Skyrmion Matter
• Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration
• Skyrmions with vector mesons in the hidden local symmetry approach
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Effects of the low lying Dirac modes on excited hadrons in lattice QCD
• A New Topological "Twist" to BR Scaling

Cited by in corpus (18)

• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Pion crystals hosting topologically stable baryons
• A pseudo-conformal structure in dense baryonic matter
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Topology and emergent symmetries in dense compact star matter
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter
• Fractionized Skyrmions in Dense Compact-Star Matter
• Dual chiral density wave induced oscillating Casimir effect
• Magnetic field effect on nuclear matter from skyrmion crystal model
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Probing the Source of Proton Mass by"Unbreaking" Scale-Chiral Symmetry
• Chiral-Imbalance Density Wave in Baryonic Matters