强电磁场中QED等离子体的动力学理论I。协变超平面形式
Kinetic theory of QED plasma in a strong electromagnetic field I. The covariant hyperplane formalism
摘要:
本文发展了一种协变密度矩阵方法来研究强外电磁场作用下QED等离子体的动力学理论。在闵可夫斯基空间的类空超平面上的系统的正则量子化和库仑规范的协变推广。与平均电磁场相关联的凝聚模式是从光子自由度分离的时间依赖的幺正变换的两个,动力学变量和非平衡统计算子。因此,即使在强外场的情况下,关联函数和统计算子的精细结构常数的微扰展开也是适用的。本文提出了一种用超平面形式推导动力学方程的一般方法。
英文摘要:
We develop a covariant density matrix approach to kinetic theory of QED plasmas subjected into a strong external electromagnetic field. A canonical quantization of the system on space-like hyperplanes in Minkowski space and a covariant generalization of the Coulomb gauge is used. The condensate mode associated with the mean electromagnetic field is separated from the photon degrees of freedom by a time-dependent unitary transformation of both, the dynamical variables and the nonequilibrium statistical operator. Therefore even in the case of strong external fields a perturbative expansion in orders of the fine structure constant for the correlation functions as well as the statistical operator is applicable. A general scheme for deriving kinetic equations in the hyperplane formalism is presented.
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