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The real-time dynamics of finite-temperature gauge theories can beapproximated, to leading-order accuracy in the coupling constants, by aclassical field theory with the hard thermal loop Lagrangian. I show how thisapproach can be used in numerical lattice simulations to study dynamics of theAbelian Higgs model in or slightly out of equilibrium.Comment: 4 pages, talk given at COSMO' 99, Trieste, Italy, September 27 -  October 2, 199

NON-EQUILIBRIUM DYNAMICS OF HOT ABELIAN HIGGS MODEL