A local Langevin equation for slow longdistance modes of hot nonAbelian gauge fields
Abstract
The effective theory for the dynamics of hot nonAbelian gauge fields with spatial momenta of order of the magnetic screening scale g^{2}T is described by a Boltzmann equation. The dynamical content of this theory is explored. There are three relevant frequency scales, gT, g^{2}T and g^{4}T, associated with plasmon oscillations, multipole fluctuations of the charged particle distribution, and with the nonperturbative gauge field dynamics, respectively. The frequency scale gT is integrated out. The result is a local Langevintype equation. It is valid to leading order in g and to all orders in log(1/g), and it does not suffer from the hard thermal loop divergences of classical thermal YangMills theory. We then derive the corresponding FokkerPlanck equation, which is shown to generate an equilibrium distribution corresponding to 3dimensional YangMills theory plus a Gaussian free field.
 Publication:

Physics Letters B
 Pub Date:
 September 2001
 DOI:
 10.1016/S03702693(01)00911X
 arXiv:
 arXiv:hepph/0012304
 Bibcode:
 2001PhLB..516..175B
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 Typo in the formula for the effective Hamiltonian corrected