A discussion on the electrical conductivity of the quark-gluon plasma as determined by lattice QCD is given. After a reminder of basic definitions and expectations, various methods for spectral reconstruction are reviewed, including the use of Ansätze and sum rules, the Maximum Entropy and Backus-Gilbert methods, and Tikhonov regularisation. A comprehensive overview of lattice QCD results obtained so far is given, including a comparison of the different lattice formulations. A noticeable consistency for the conductivities obtained is seen, in spite of the differences in the lattice setups and spectral reconstruction methods. It is found that in the case of quenched QCD little temperature dependence of \(\sigma /T\) is seen in the temperature range investigated, while for QCD with dynamical quarks a reduction of \(\sigma /T\) in the vicinity of the thermal crossover is observed, compared to its value in the QGP. Several open questions are posed at the end.

讨论了由晶格QCD确定的夸克-胶子等离子体的电导率。在提醒基本定义和期望之后，回顾了各种频谱重建方法，包括使用Ansätze和求和规则，最大熵和Backus-Gilbert方法以及Tikhonov正则化。给出了迄今为止获得的晶格QCD结果的全面概述，包括对不同晶格配方的比较。尽管晶格设置和光谱重建方法存在差异，但仍可以看到所获得的电导率具有明显的一致性。发现在淬灭QCD的情况下，\（\ sigma / T \）的温度依赖性很小可以在所研究的温度范围内观察到，而对于具有动态夸克的QCD ，与在QGP中的值相比，在热交换附近观察到了\（\ sigma / T \）的减小。最后提出几个悬而未决的问题。