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Phys. Rev. D 66, 045008 (2002) [14 pages]

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

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Gert Aarts1,*, Daria Ahrensmeier2,†, Rudolf Baier2,‡, Jürgen Berges3,§, and Julien Serreau3,**
1Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210
2Fakultät für Physik, Universität Bielefeld, Universitätsstraße, 33615 Bielefeld, Germany
3Universität Heidelberg, Institut für 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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.045008
DOI:
10.1103/PhysRevD.66.045008
PACS:
11.15.Pg, 05.70.Ln, 11.30.Qc

*Email address: aarts@mps.ohio-state.edu

Email address: dahrens@physik.uni-bielefeld.de

Email address: baier@physik.uni-bielefeld.de

§Email address: j.berges@thphys.uni-heidelberg.de

**Email address: serreau@thphys.uni-heidelberg.de