Nonequilibrium Quantum Fields and the Classical Field Theory Limit

Details Nonequilibrium Quantum Fields and the Classical Field Theory Limit Nonequilibrium Quantum Fields and the Classical Field Theory Limit

2002-01-22

arxiv.org/abs/hep-ph/0201204v1

Nucl.Phys. A702 (2002) 351-355

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, to appear in the Proceedings of "Statistical QCD", Bielefeld, August 26-30, 2001

Scientific paper

10.1016/S0375-9474(02)00723-6

We calculate the far-from-equilibrium dynamics and thermalization both for the quantum and the classical O(N)--model. The early and late-time behavior can be described from the 2PI--loop expansion for weak couplings or the nonperturbative 2PI--1/N expansion of the effective action beyond leading order. A comparison with exact simulations in 1+1 dimensions in the classical limit shows that the 2PI--1/N expansion at next-to-leading order gives quantitatively precise results already for moderate values of N. We derive a criterion for the validity of the classical approximation and verify it by comparing far-from-equilibrium quantum and classical dynamics. At late times one observes the expected deviations due to the difference between classical and quantum thermal equilibrium.

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