Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-31
Phys.Rev.D63:025012,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages with 12 eps figures, minor changes; to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.63.025012
Nonperturbative dynamics of quantum fields out of equilibrium is often described by the time evolution of a hierarchy of correlation functions, using approximation methods such as Hartree, large N, and nPI-effective action techniques. These truncation schemes can be implemented equally well in a classical statistical system, where results can be tested by comparison with the complete nonlinear evolution obtained by numerical methods. For a 1+1 dimensional scalar field we find that the early-time behaviour is reproduced qualitatively by the Hartree dynamics. The inclusion of direct scattering improves this to the quantitative level. We show that the emergence of nonthermal temperature profiles at intermediate times can be understood in terms of the fixed points of the evolution equations in the Hartree approximation. The form of the profile depends explicitly on the initial ensemble. While the truncated evolution equations do not seem to be able to get away from the fixed point, the full nonlinear evolution shows thermalization with a (surprisingly) slow relaxation.
Aarts Gert
Bonini Gian Franco
Wetterich Christof
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