The Role of the Dilaton in Dense Skyrmion Matter

Abstract

In this note, we report on a remarkable and surprising interplay between the omega meson and the dilaton chi in the structure of a single skyrmion as well as in the phase structure of dense skyrmion matter which may have a potentially important consequence on the properties of compact stars. In our continuing effort to understand hadronic matter at high density, we have developed a unified field theoretic formalism for dense skyrmion matter using a single Lagrangian to describe simultaneously both matter and meson fluctuations and studied in-medium properties of hadrons. The effective theory used is the Skyrme model Lagrangian gauged with the vector mesons rho and omega, implemented with the dilaton field that describes the spontaneously broken scale symmetry of QCD, in a form consistent with the symmetries of QCD and our expectations regarding the high density limit. We analyze the restoration of scale invariance and chiral symmetry as the density of the system increases. In order to preserve the restoration of scale symmetry and chiral symmetry, signalled in our case by the vanishing of the expectation value of the dilaton, and to be consistent with the vector manifestation of hidden local symmetry, a density dependent omega coupling is introduced. We uncover the crucial role played by both the dilaton and the omega meson in the phase structure of dense medium and discover how two different phase transition regimes arise as we dial the dilaton mass.

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Cited by in corpus (27)

• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
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• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• Chiral-scale effective theory including a dilatonic meson
• Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration
• Holographic QCD in medium: a bottom up approach
• Skyrmions, Quantum Hall Droplets, and one current to rule them all
• Kaons in Dense Half-Skyrmion Matter
• Dilatons in Hidden Local Symmetry for Hadrons in Dense Matter
• Multi-Skyrmions with Vector Mesons
• The Inhomogeneous Phase of Dense Skyrmion Matter
• Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term
• Scalar Pseudo-Nambu-Goldstone Boson in Nuclei and Dense Nuclear Matter
• Topology and emergent symmetries in dense compact star matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Kaon Condensation, Black Holes and Cosmological Natural Selection
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• The half-skyrmion phase in a chiral-quark model
• Scale symmetry and composition of compact star matter
• Skyrmions at finite density and temperature: the chiral phase transition
• Glueball-glueball scattering and the glueballonium
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Effects of scalar mesons in a Skyrme model with hidden local symmetry
• Charging the conformal window at nonzero $\theta$ angle
• Cold Compressed Baryonic Matter with Hidden Local Symmetry and Holography
• Dilatons for Dense Hadronic Matter
• The soliton-soliton interaction in the Chiral Dilaton Model