论文标题
晶格QCD研究有限$ t $的静态夸克和古quark相关性通过纠缠熵
Lattice QCD study of static quark and antiquark correlations at finite $T$ via entanglement entropies
论文作者
论文摘要
为了澄清夸克之间的颜色相关性，我们研究了静态夸克与古quark（静态$ q \ bar q $）之间的颜色相关性，而相位温度$ t_c $ t_c $通过纠缠熵（EE）。通过在采用标准的Wilson量规操作的各向异性晶格上进行淬灭的晶格QCD计算，我们计算了在颜色空间中定义的降低密度矩阵$ρ$，以及从$ρ$中构建的Entangrement Entropy $ s _ {\ rm EE} $。空间体积为$ l^3 = 24^3 $，时间范围为$ n_t = 12,13,14,15,16,18,20 $和$ 24 $，并带有量规耦合$β= 5.75 $，并且对应于180和370 MEV之间的温度= 4.0 $ $β= 5.75 $，对应于180和370 ME之间的温度。从$ρ$和$ s _ {\ rm ee} $的分析中，$ q \ bar q $ pairs之间的颜色相关性是Interquark距离$ r $和温度$ t $的函数。在$ t_c $以下，$ r $依赖性颜色相关性类似于$ t = 0 $：随着$ r $的增加，夸克的颜色相关性逐渐减小，因为$ r $由于内在胶水中的颜色筛选而增加。在$ t_c $的上方，由于解相期过渡，发现夸克之间的颜色相关性很快就会消失。此外，我们通过$ρ$定义的筛选质量研究色彩筛选效果，并讨论小R区域和大R区域之间筛选属性的差异。
With the aim of clarification of color correlations among quarks, we investigate the color correlation between a static quark and an antiquark (static $q\bar q$) below and above the phase transition temperature $T_c$ through the entanglement entropy(EE). By a quenched lattice QCD calculation on an anisotropic lattice adopting the standard Wilson gauge action in the Coulomb gauge, we compute a reduced density matrix $ρ$ defined in the color space, and the entanglement entropy $S_{\rm EE}$ constructed from $ρ$. The spatial volume is $L^3 = 24^3$ and the temporal extents are $N_T = 12,13,14,15,16,18,20$ and $24$, with a gauge coupling $β= 5.75$ and a renormalized anisotropy $ξ= 4.0$, which corresponds to temperatures between 180 and 370 MeV. From an analysis of $ρ$ and $S_{\rm EE}$, the color correlation between $q\bar q$ pairs is obtained as a function of the interquark distance $R$ and the temperature $T$. Below $T_c$, the $R$-dependence of the color correlation resembles that at $T=0$: the quark's color correlation gradually decreases as $R$ increases due to the color screening by in-between gluons. Above $T_c$, due to the deconfinement phase transition, the color correlation among quarks is found to quickly dissappear. Further, we investigate the color screening effect via the screening mass defined by $ρ$, and discuss the differences in the screening properties between the small and large R regions.
