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Far-from-equilibrium dynamics with broken symmetries from the 1N expansion of the 2PI effective action

Summary: Far-from-equilibrium dynamics with broken symmetries from the 1ŐN expansion
of the 2PI effective action
Gert Aarts,1,
* Daria Ahrensmeier,2,
Rudolf Baier,2,
Jušrgen Berges,3,§
and Julien Serreau3,
Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210
Fakultašt fušr Physik, Universitašt Bielefeld, Universitaštsstraße, 33615 Bielefeld, Germany
Universitašt Heidelberg, Institut fušr Theoretische Physik, Philosophenweg 16, 69120 Heidelberg, Germany
Received 6 February 2002; published 15 August 2002
We derive the nonequilibrium real-time evolution of an O(N)-invariant scalar quantum field theory in the
presence of a nonvanishing expectation value of the quantum field. Using a systematic 1/N expansion of the
2PI effective action to next-to-leading order, we obtain nonperturbative evolution equations which include
scattering and memory effects. The equivalence of the direct method, which requires the resummation of an
infinite number of skeleton diagrams, with the auxiliary-field formalism, which involves only one diagram at
next-to-leading order, is shown.


Source: Aarts, Gert - Department of Physics, University of Wales Swansea


Collections: Physics