The Fate of Non-Abelian Plasma Instabilities in 3+1 Dimensions

Plasma instabilities can play a fundamental role in plasma equilibration. There are similarities and differences between plasma instabilities in abelian and non-abelian gauge theories. In particular, it has been an open question whether non-abelian self-interactions are the limiting factor in the growth of non-abelian plasma instabilities. We study this problem with 3+1 dimensional numerical simulations. We find that non-abelian plasma instabilities behave very differently from abelian ones once they grow to be non-perturbatively large, in contrast with earlier results of 1+1 dimensional simulations. In particular, they grow more slowly at late times, with linear rather than exponential dependence of magnetic energy on time.