Inhomogeneous quark condensate in compressed skyrmion matter

Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter

In a previous article, the 4D half-skyrmion (or 5D dyonic salt) structure of dense baryonic matter described in crystalline configuration in the large $N_c$ limit was shown to impact nontrivially on how anti-kaons behave in compressed nuclear matter with a possible implication on an "ice-9" phenomenon of deeply bound kaonic matter and condensed kaons in compact stars. We extend the analysis to make a further prediction on the scaling properties of hadrons that have a surprising effect on the nuclear tensor forces, the symmetry energy and hence on the phase structure at high density. We treat t…

有限密度下的 Skyrmion

Skyrmions at Finite Density

论文介绍通过推广球形刺猬拟设构建有限重子密度下非均匀强子凝聚体 Skyrme 模型精确解的新解析方法，并说明其可用于计算重要物理量。

Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter

We review the recent exploration of a possible "domain-wall structure" of compressed baryonic matter in massive compact stars in terms of fractional quantum Hall droplets and skyrmions for baryons in medium. The theoretical framework is anchored on an effective nuclear effective field theory that incorporates two hidden symmetries, flavor local symmetry and scale symmetry conjectured to be dual to the gluons and quarks of QCD. It hints at a basically different, hitherto undiscovered structure of nuclear matter at low as well as high densities. Hidden "genuine dilaton (GD)" symmetry and hidden …

磁场中QCD的畴壁斯格明子相：规范场动力学

Domain-wall Skyrmion phase of QCD in magnetic field: Gauge field dynamics

本研究考虑规范场动力学，验证了磁场中有限重子密度下QCD的CSL相与DWSk相的相界在BPS近似内外一致，还发现畴壁斯格明子因手征反常带单位电荷。

Cold Compressed Baryonic Matter with Hidden Local Symmetry and Holography

I describe a novel phase structure of cold dense baryonic matter predicted in a hidden local symmetry approach anchored on gauge theory and in a holographic dual approach based on the Sakai-Sugimoto model of string theory. This new phase is populated with baryons with half-instanton quantum number in the gravity sector which is dual to half-skyrmion in gauge sector in which chiral symmetry is restored while light-quark hadrons are in the color-confined phase. It is suggested that such a phase that aries at a density above that of normal nuclear matter and below or at the chiral restoration poi…

A Unified Approach to High Density: Pion Fluctuations in Skyrmion Matter

As the first in a series of systematic work on dense hadronic matter, we study the properties of the pion in dense medium using Skyrme's effective Lagrangian as a unified theory of the hadronic interactions applicable in the large $N_c$ limit. Dense baryonic matter is described as the ground state of a skyrmion matter which appears in two differentiated phases as a function of matter density: i) at high densities as a stable cubic-centered (CC) half-skyrmion crystal; ii) at low densities as an unstable face-centered cubic (FCC) skyrmion crystal. We substitute the latter by a stable inhomogeneo…

Scale-Chiral Symmetry, Proton Mass and Sound Velocity in Compact-Star Matter

With a light dilaton $σ$ and the light-quark vector mesons $V=(ρ,ω)$ incorporated into an effective scale-invariant hidden local symmetric Lagrangian, scale-chiral symmetry -- hidden in QCD -- arises at a high density, $n_{1/2}$, as an "emergent" symmetry, a phenomenon absent in standard chiral perturbative approaches but highly relevant for massive compact stars. What takes place as the density increases beyond $n_{1/2}\sim 2n_0$ in compressed baryonic matter is (1) a topology change from skyrmions to half-skyrmions, (2) parity doubling in the nucleon structure, (3) the maximum neutron star m…

Topology Change and Tensor Forces for the EoS of Dense Baryonic Matter

When skyrmions representing nucleons are put on crystal lattice and compressed to simulate high density, there is a transition above the normal nuclear matter density $n_0$ from a matter consisting of skyrmions with integer baryon charge to a state of half-skyrmions with half-integer baryon charge. We exploit this observation in an effective field theory formalism to access dense baryonic system. We find that the topology change involved implies a changeover from a Fermi liquid structure to a non-Fermi liquid with the chiral condensate in the nucleon "melted off." The $\sim 80%$ of the nucleon…

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

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 $π$ and the matter fields $V=(ρ,ω)$ 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,…

磁场下QCD物质的相图：手征孤子晶格中的畴壁Skyrmion链

Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice

本文在手征微扰论领头阶利用模近似构建CSL有效理论，并通过畴壁Skyrmion链的拓扑团块负能量条件确定CSL与DWSk相边界。

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

Exploiting certain robust topological inputs from the skyrmion description of compressed baryonic matter with a scale-chiral symmetric Lagrangian, we predict the equation of state that is consistent with the properties of nuclear matter at the equilibrium density, supports the maximum mass of massive compact star $\sim 2 M_\odot$ and surprisingly gives the sound velocity close to the "conformal velocity" $1/\sqrt{3}$ at densities $\gtrsim 3 n_0$. At the core of this result is the observation that parity-doubling occurs in the nucleon structure as density goes above $\sim 2n_0$ with a chiral-si…

chirality soliton lattice 的普遍性及其与夸克物质的相互作用

On the robustness of the chiral soliton lattice and the propagation of test quarks

本文研究了 chirality soliton lattice (ChSL) 在低能极限下与 Maxwell 理论最小耦合的普遍性，并探讨了 ChSL 与夸克物质的相互作用。