论文标题
热QCD中的传输系数：探针碰撞积分
Transport coefficients in thermal QCD: A probe to the collision integral
论文作者
论文摘要
我们研究了传输系数作为探测碰撞积分出现在玻尔兹曼方程中的工具。为此，我们估计了运输系数（动量：\ {$η$，$ζ$ \}，热量：\ {$κ$ \}，并充电：\ {$之一\ {$之一{$之一{\ {\ rm el} $ \}）在Bhatnagar-gross-kroosk（Bgk）中是否可以与Bhatnagar-grosk（bgk）一起询问。区分两个碰撞积分。例如，$η$得到增强，而$ζ$减少了W.R.T.到RTA。 As a corollary, we then investigate the interplay among the aforesaid transport coefficients, {\em viz.} fluidity and transition point of QCD medium by evaluating the ratios, $η/s$ and $ζ/s$, respectively, nature of flow (Reynolds number, RI), sound attenuation (Prandtl number, Pr), and competition between the momentum and charge diffusion ($γ$) etc. as进一步的合理工具可以破译相同的工具。随着BGK碰撞积分，比率，$η/s $（增加）和$ζ/s $（减少）的行为相反，而PR，RI，$γ$和比率$ζ/η$降低了W.R.T RTA。然后，我们研究强大的$ b $如何调节碰撞积分的影响，从某种意义上说，这在某种程度上探索了动量运输的维度依赖性，因为夸克动力学仅限于1-D，只有最低的Landau水平被填充。 As a result, $η$ ($ζ$) gets reduced (amplified), which will have ramifications on the ratios, {\em viz.} $η/s$ ($ζ/s$) becomes smaller (larger), enhancement of Pr, $γ$ and $ζ/η$ etc. In this study, the thermo-magnetic medium effects have been incorporated by adopting a quasi-particle model, where the medium generated参与量的质量是从其重注的繁殖物的杆上获得的，该繁殖的繁殖热QCD在强$ b $中获得。
We have studied the transport coefficients as a tool to probe the collision integral appeared in the Boltzmann equation. For this purpose, we have estimated the transport coefficients (momentum: \{$η$,$ζ$\}, heat: \{$κ$\}, and charge: \{$σ_{\rm el}$\}) in the kinetic theory with Bhatnagar-Gross-Krook (BGK) and the collision integral in RTA and ask whether we can distinguish between the two collision integrals. For example, $η$ gets enhanced while $ζ$ gets reduced w.r.t. to RTA. As a corollary, we then investigate the interplay among the aforesaid transport coefficients, {\em viz.} fluidity and transition point of QCD medium by evaluating the ratios, $η/s$ and $ζ/s$, respectively, nature of flow (Reynolds number, RI), sound attenuation (Prandtl number, Pr), and competition between the momentum and charge diffusion ($γ$) etc. as further plausible tools to decipher the same. With BGK collision integral, the ratios, $η/s$ (increase) and $ζ/s$ (decrease) shows opposite behavior whereas Pr, RI, $γ$ and the ratio $ζ/η$ get reduced w.r.t RTA. We then examine how a strong $B$ modulate the impact of collision integral, which, in a way, explore the dimensionality dependence of the momentum transport because the quark dynamics gets restricted to 1-D only and only the lowest Landau levels are populated. As a result, $η$ ($ζ$) gets reduced (amplified), which will have ramifications on the ratios, {\em viz.} $η/s$ ($ζ/s$) becomes smaller (larger), enhancement of Pr, $γ$ and $ζ/η$ etc. In this study, the thermo-magnetic medium effects have been incorporated by adopting a quasi-particle model, where the medium generated masses of the partons have been obtained from the pole of their resummed propagators calculated using perturbative thermal QCD in strong $B$.
