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 (4)

• "Deconfined" quantum critical points
• Chiral Dynamics of Baryons from String Theory
• 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

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