I discuss some non-perturbative aspects of hot gauge theories as related tothe unscreened static magnetic interactions. I first review some of theinfrared divergences which cause the breakdown of the perturbation theory. ThenI show that kinetic theory, as derived from quantum field theory, is a powerfultool to construct effective theories for the soft modes, which then can betreated non-perturbatively. The effective theory at the scale $gT$ follows froma collisionless kinetic equation, of the Vlasov type. The effective theory atthe scale $g^2T$ is generated by a Boltzmann equation which includes thecollision term for colour relaxation.
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机译：我讨论了热规范理论的一些非扰动方面，这些方面与未经筛选的静磁相互作用有关。我首先回顾一些导致摄动理论崩溃的红外散度。然后，我证明了从量子场理论衍生而来的动力学理论是为软模构建有效理论的有力工具，然后可以对其进行非扰动处理。规模为$ gT $的有效理论来自弗拉索夫类型的无碰撞动力学方程。规模为$ g ^ 2T $的有效理论是由Boltzmann方程生成的，该方程包括用于颜色松弛的碰撞项。
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