Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter

Abstract

When scale symmetry is implemented into hidden local symmetry in low-energy strong interactions to arrive at a scale-invariant hidden local symmetric (HLS) theory, the scalar $f_0(500)$ may be interpreted as pseudo-Nambu-Goldstone (pNG) boson, i.e., dilaton, of spontaneously broken scale invariance, joining the pseudo-scalar pNG bosons $\pi$ and the matter fields $V=(\rho ,\omega )$ as relevant degrees of freedom. Implementing the skyrmion-half-skyrmion transition predicted at large $N_c$ in QCD at a density roughly twice the nuclear matter density found in the crystal simulation of dense skyrmion matter, we determine the intrinsically density-dependent (IDD) "bare parameters" of the scale-invariant HLS Lagrangian matched to QCD at a matching scale ${\Lambda }_M$. The resulting effective Lagrangian, with the parameters scaling with the density of the system, is applied to nuclear matter and dense baryonic matter relevant to massive compact stars by means of the double-decimation renormalization-group $V_{lowk}$ formalism. We satisfactorily post-dict the properties of normal nuclear matter and more significantly {\it predict} the EoS of dense compact-star matter that quantitatively accounts for the presently available data coming from both the terrestrial and space laboratories. We interpret the resulting structure of compact-star matter as revealing how the combination of hidden-scale symmetry and hidden local symmetry manifests itself in compressed baryonic matter.

37 pages and 14 figures, Revised for publication

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Cited by in corpus (14)

• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• Density dependence of the nuclear energy-density functional
• Chiral-scale effective theory including a dilatonic meson
• Topology and emergent symmetries in dense compact star matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Topology change, emergent symmetries and compact star matter
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• Fractionized Skyrmions in Dense Compact-Star Matter
• Compact Star Matter: EoS with New Scaling Law
• Pseudo Nambu-Goldstone modes in neutron stars
• Strong correlation of the neutron star core-crust transition density with the $\sigma$-meson mass via vacuum polarization
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?