  In this paper, we study the Vlasov-Maxwell-Boltzmann system without angular
cutoff and the Vlasov-Maxwell-Landau/Boltzmann system with polynomial
perturbation $F=\mu+f$ near global Maxwellian. In particular, we prove the
global existence, uniqueness and large time behavior for solutions in a
polynomial weighted space $H^N_{x,v}(\langle v\rangle^k)$. The method is based
on Duhamel's principle with the crucial time-decay analysis on the particle
distribution $f$ and the electromagnetic field $(E,B)$.
