Hu, CR; Müller, B, *Classical lattice gauge fields with hard thermal loops*,
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 409 no. 1-4
(1997),
pp. 377-381 [pdf] .
**Abstract:**

*We propose a formulation of the long-distance dynamics of gauge theories at finite temperature on a lattice in Minkowski space, including the effects of hard thermal loops on the dynamics of the long wavelength modes. Our approach is based on the dual classical limits of quantum fields as waves and particles in the infrared and ultraviolet limits, respectively. It exhibits manifest invariance under space-dependent lattice gauge transformations and conserves Gauss' law. © 1997 Elsevier Science B.V.*