Lattice QCD study of static quark and antiquark correlations at finite T via entanglement entropies
Lattice QCD study of static quark and antiquark correlations at finite T via entanglement entropies
复制标题
DOI：
10.1103/physrevd.103.034504
复制
发表时间：
2020-11
影响因子：
5
通讯作者：
Toru T. Takahashi;Y. Kanada-En’yo
中科院分区：
文献类型：
--
作者：
Toru T. Takahashi;Y. Kanada-En’yo
With the aim of clarification of color correlations among quarks, we investigate the color correlation between a static quark and an antiquark (static $q\overline{q}$) 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 $\ensuremath{\rho}$ defined in the color space and the entanglement entropy ${S}_{\mathrm{EE}}$ constructed from $\ensuremath{\rho}$. The spatial volume is ${L}^{3}=2{4}^{3}$, and the temporal extents are ${N}_{T}=12$, 13, 14, 15, 16, 18, 20 and 24, with a gauge coupling $\ensuremath{\beta}=5.75$ and a renormalized anisotropy $\ensuremath{\xi}=4.0$, which corresponds to temperatures between 180 and 370 MeV. From an analysis of $\ensuremath{\rho}$ and ${S}_{\mathrm{EE}}$, the color correlation between $q\overline{q}$ 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 disappear. Further, we investigate the color screening effect via the screening mass defined by $\ensuremath{\rho}$ and discuss the differences in the screening properties between the small and large R regions.
With the aim of clarification of color correlations among quarks, we investigate the color correlation between a static quark and an antiquark (static $q\overline{q}$) 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 $\ensuremath{\rho}$ defined in the color space and the entanglement entropy ${S}_{\mathrm{EE}}$ constructed from $\ensuremath{\rho}$. The spatial volume is ${L}^{3}=2{4}^{3}$, and the temporal extents are ${N}_{T}=12$, 13, 14, 15, 16, 18, 20 and 24, with a gauge coupling $\ensuremath{\beta}=5.75$ and a renormalized anisotropy $\ensuremath{\xi}=4.0$, which corresponds to temperatures between 180 and 370 MeV. From an analysis of $\ensuremath{\rho}$ and ${S}_{\mathrm{EE}}$, the color correlation between $q\overline{q}$ 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 disappear. Further, we investigate the color screening effect via the screening mass defined by $\ensuremath{\rho}$ and discuss the differences in the screening properties between the small and large R regions.