Effective theory forω≪k≪gTcolor dynamics in hot non-Abelian plasmas

A proper sequence of effective theories, corresponding to larger and larger distance scales, is crucial for analyzing real-time equilibrium physics in hot non-Abelian plasmas. For the study of color dynamics (by which I mean physics involving long wavelength gauge fluctuations), an important stepping stone in the sequence of effective theories is to have a good effective theory for dynamics with wave number k well below the Debye screening mass. I review how such dynamics is associated with inverse time scales $\omega \ll k.\mathrm{}$ I then give a compact way to package, in the $\omega \ll k$ limit, Bödeker’s description of $k\ll m$ physics, which was in terms of Vlasov equations with collision terms. Finally, I show how the resulting effective theory can be reformulated as a path integral.