We construct a generalized EFT approach to dense compact-star matter that exploits the CCP for hadron-quark continuity at high density, hidden topology and hidden symmetries of QCD. No Landau-Ginzburg-Wilsonian-type phase transition is involved. The microscopic DoF of QCD possibly intervening at high baryonic density are traded in for fractionalized topological objects. Essential in the description are symmetries invisible in QCD in the matter-free vacuum: Scale symmetry, flavor local symmetry and parity-doubling. The partial emergence of scale symmetry is signaled by a dilatonic scalar in a "pseudo-conformal" structure. Flavor gauge symmetry manifests with the $\rho$ meson mass going toward a Wilsonian RGFP identified with the VMFP at which the gauge boson mass goes to zero. Parity doubling is to take place as the quasi-nucleon mass converges to the chiral invariant $m_0$. The theory accounts satisfactorily for all known properties of normal nuclear matter and makes certain predictions that are drastically different from what's available in the literature. In particular, it provides a topological mechanism, argued to be robust, for the cross-over from soft-to-hard EoS that predicts the star properties in overall agreement with the presently available data, including the maximum star mass $M_{max}\sim 2.3 M_\odot$ and the recent LIGO/Virgo GW data. What is most glaringly different from all other approaches known, however, is the prediction for the rapid convergence to a sound velocity of star $v_s^2\approx 1/3$ at a density $n\gsim 3 n_0$, far from the asymptotic density $\gsim 50n_0$ expected in pQCD. We interpret this to signal the onset of albeit approximate conformal symmetry in dense compact-star matter. The model developed here could bring out a new paradigm in nuclear/hadron physics, exploiting ideas in condensed matter physics, nuclear and particle physics and astrophysics.

中文翻译：

---

通过致密星的拓扑变化实现强子-夸克连续性

我们构建了一种针对致密致密星物质的广义 EFT 方法，该方法利用 CCP 在高密度、隐藏拓扑和 QCD 隐藏对称性下实现强子-夸克连续性。不涉及 Landau-Ginzburg-Wilsonian 型相变。QCD 的微观 DoF 可能以高重子密度进行干预，以换取细分拓扑对象。描述中必不可少的是在无物质真空中 QCD 中不可见的对称性：尺度对称性、风味局部对称性和奇偶校验加倍。尺度对称性的部分出现由“伪共形”结构中的膨胀标量发出信号。风味规范对称性表现为 $\rho$ 介子质量趋向威尔逊 RGFP，与 VMFP 识别，规范玻色子质量变为零。当准核子质量收敛到手性不变量 $m_0$ 时，会发生奇偶校验加倍。该理论令人满意地解释了正常核物质的所有已知特性，并做出了与文献中可用的完全不同的某些预测。特别是，它提供了一种被认为是稳健的拓扑机制，用于从软到硬的 EoS 的交叉，预测与当前可用数据总体一致的恒星属性，包括最大恒星质量 $M_{max} \sim 2.3 M_\odot$ 和最近的 LIGO/Virgo GW 数据。然而，与已知的所有其他方法最明显不同的是，预测快速收敛到密度为 $n\gsim 3 n_0$ 的恒星 $v_s^2\approx 1/3$ 的声速，远离pQCD 中预期的渐近密度 $\gsim 50n_0$。我们将其解释为在致密致密星物质中虽然近似共形对称性的开始。这里开发的模型可以在核/强子物理学中开辟新的范式，利用凝聚态物理学、核和粒子物理学以及天体物理学的思想。