发表机构
Université Paris Cité; CNRS, Astroparticule et Cosmologie; Institute of Theoretical Physics, Chinese Academy of Sciences; Crete Center for Theoretical Physics; Institute for Theoretical and Computational Physics, Department of PhysicsUniversity of Crete; Institute for Theoretical Physics, Utrecht University（巴黎西岱大学; 法国国家科学研究中心，亚原子粒子与宇宙学研究所; 中国科学院理论物理研究所; 克里特理论物理中心; 克里特大学物理系理论与计算物理研究所; 乌得勒支大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究强耦合致密物质中味流关联函数，在有限夸克和同位旋化学势下推导非阿贝尔流体动力学描述，通过全息计算两点关联函数，发现传统流体动力学有效范围扩展，还应用全息乘积公式提出近似并经数值分析验证。
AI 中文摘要
在强耦合致密（全息）物质中，于有限夸克化学势$\mu_q$和有限同位旋不对称情况下研究味流关联函数。在存在同位旋化学势$\mu_3$时推导带电流的非阿贝尔流体动力学描述。然后在有限夸克和同位旋化学势下通过全息方法计算带电流的两点关联函数。在近极端流体动力学区域$\omega,k,T,\mu_3\ll\mu\equiv\sqrt{\mu_q^2+\mu_3^2}$（适用于冷强耦合物质）研究关联函数的红外性质，结果表明在此区域关联函数与非阿贝尔流体动力学预测相符，传统流体动力学有效范围扩展到$T\ll\omega,k\ll\mu$。应用全息乘积公式提出扩展流体动力学近似，通过对精确关联函数和准正则模谱的详细数值分析验证了结果。
英文摘要
Flavor-current correlators are studied in strongly-coupled dense (holographic) matter, at finite quark chemical potential $μ_q$ and finite isospin asymmetry. The non-Abelian hydrodynamic description of the charged currents is derived in the presence of an isospin chemical potential $μ_3$. The two-point correlators of charged currents are then computed holographically at finite quark and isospin chemical potentials. In the near-extremal hydrodynamic regime, $ω, k, T, μ_3 \ll μ\equiv \sqrt{μ_q^2+μ_3^2}$, relevant for cold strongly coupled matter, the IR properties of the correlators are studied. It is shown that in this regime, the correlators agree with the non-Abelian hydrodynamic predictions. Therefore, the traditional regime of validity of standard hydrodynamics extends beyond $ω, k \ll T \ll μ$ to the so-called extended hydrodynamic regime $T\ll ω, k \ll μ$. The holographic product formula is applied to the present non-Abelian system, and is used to propose an extended hydrodynamic approximation capturing both hydrodynamic-like poles and the leading effect of AdS$_2$ poles, by resumming the low-$ω$ logarithms. The results are verified through a detailed numerical analysis of the exact correlators and quasi-normal mode spectrum.
Comments70 pages plus appendices, typos corrected
