高密度下柴郡猫的微笑
The Smile of Cheshire Cat At High Density
AI总结：
本文利用QCD柴郡猫原理描述高密度核物质，揭示了极高密度下达到标度极限固定点的量子霍尔液滴与重子宇称双重化结构，该结构不排除致密星核心的强子-夸克一阶相变。
摘要：
本文利用QCD的柴郡猫模型描述了有限核子、核物质与致密星体物质中的重子。通过所谓的柴郡猫原理，在数学严谨性有限的情况下，建立了这些现象之间的潜在概念联系。以与QCD变量“对偶”的术语表述，进入极高密度时会暴露出量子霍尔液滴（或圆盘），在此处达到标度极限固定点，满足 $g_A\ o 1$、$f_π\ o f_χ$（其中 $f_π$ 和 $f_χ$ 分别为π介子和标量场衰变常数），并实现重子宇称双重化。该情景揭示了高密度下对偶重子物质迄今未被探索的结构，该结构既不要求也不排除处于引力坍缩边缘的致密星核心中从强子到夸克的（快速）一阶相变。
英文摘要：
Baryons in finite nuclei, nuclear matter and dense compact-star matter are described in terms of Cheshire Cat for QCD. A potential conceptual link, admittedly short in mathematical rigor, between their manifestations is made by what's called Cheshire Cat Principle. Put in terms taken ``dual" to QCD variables, going to very high density exposes quantum Hall droplets -- or pancakes -- at which the dilaton-limit fixed point with $g_A\to 1$, $f_π\to f_χ$ -- where $f_π$ and $f_χ$ are respectively the pion and dilaton decay constants -- and the baryon parity-doubling are reached. This scenario suggests a thus-far totally unexplored structure of dual baryonic matter at high density which does neither require nor rule out (rapid) first-order phase transitions from hadrons to quarks in the core of compact stars on the verge of gravitational collapse.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
