有限动量下的粲夸克偶素与夸克胶子等离子体中的空间关联函数
Charmonia at Finite Momentum and Spatial Correlators in Quark-Gluon Plasma
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中文总结 AI 辅助
本研究采用热力学T矩阵方法，结合可分离势近似与零模，成功定性重现了夸克胶子等离子体中夸克偶素关联函数的格点QCD结果，明确了零模的作用。
中文摘要 AI 辅助
夸克胶子等离子体中夸克偶素的空间关联函数可通过有限温度格点量子色动力学（lattice-QCD）以较高精度获取。然而，由于其傅里叶变换中存在高度振荡的动量积分，且需要可靠评估其三维动量依赖性，从微观谱函数角度对这些关联函数进行解释颇具挑战性。我们利用热力学T矩阵方法，借助可分离势近似首次得到洛伦兹协变的散射方程。介质效应通过最先进的重夸克自能及由格点QCD欧氏关联函数约束的势屏蔽效应纳入考量。除散射方程中常规的两粒子割外，我们还纳入了粒子-空穴激发（亦称为零模）。研究发现，三维动量下欧氏关联函数的增大以及格点QCD中观测到的空间关联函数的压低均可被定性重现，其中零模对前者起关键作用，但对后者无影响。
英文摘要
Spatial correlation functions of quarkonia in the quark-gluon plasma are available from finite- temperature lattice-QCD with good precision. However, their interpretation in terms of microscopic spectral functions has been challenging due to a highly oscillating momentum integral in their Fourier transform and the need for a reliable evaluation of their 3-momentum dependence. Utilizing the thermodynamic T-matrix approach we first obtain a Lorentz-covariant scattering equation by taking advantage of a separable-potential approximation. Medium effects are included through state-of-the- art heavy-quark selfenergies and a potential screening which we constrain by euclidean correlators from lattice QCD. In addition to the usual two-particle cut in the scattering equation we also include particle-hole excitations, also referred to as zero mode. We find that both the increase of euclidean correlators with 3-momentum and the suppression of the spatial correlators found in lattice-QCD can be qualitatively reproduced, with the zero mode playing an essential role for the former but not for the latter.
