We investigate the response of a relativistic plasma to electromagnetic fields in the framework of the Boltzmann equation incorporating a collision term in the relaxation rate approximation selected in a form assuring current conservation. We obtain an explicit solution for the linearized perturbation of the Fermi–Dirac equilibrium distribution in terms of the average relaxation rate $\kappa$. We study the resulting covariant, gauge invariant, and current conserving form of the polarization tensor in the ultrarelativistic and non-relativistic limits. We evaluate the susceptibility in the ultrarelativistic limit and explore their dependence on $\kappa$. Finally, we study the dispersion relations for the longitudinal and transverse poles of the propagator. We show that for $\kappa >2{\omega }_p$, where ${\omega }_p$ is the plasma frequency, the plasma wave modes are overdamped. In the opposite case, $\kappa \ll {\omega }_p$, the propagating plasma modes are weakly damped.

我们在玻尔兹曼方程的框架内研究了相对论等离子体对电磁场的响应，该方程在以确保电流守恒的形式选择的弛豫率近似中加入了碰撞项。我们根据平均弛豫率获得了费米-狄拉克平衡分布的线性扰动的显式解$\kappa$. 我们研究了超相对论和非相对论极限下极化张量的协变、规范不变和电流守恒形式。我们评估了超相对论极限的敏感性并探讨了它们对$\kappa$. 最后，我们研究了传播器纵向和横向极点的色散关系。我们证明对于$\kappa >2{\omega }_{磷}$， 在哪里 ${\omega }_{磷}$是等离子体频率，等离子体波模式过阻尼。在相反的情况下，$\kappa \ll {\omega }_{磷}$，传播的等离子体模式被弱阻尼。