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Effective convergence of the two-particle irreducible 1=N expansion for nonequilibrium quantum fields
 

Summary: Effective convergence of the two-particle irreducible 1=N expansion for nonequilibrium
quantum fields
Gert Aarts and Nathan Laurie
Department of Physics, Swansea University, Swansea SA2 8PP, United Kingdom
Anders Tranberg
Department of Physical Sciences, University of Oulu, P.O. Box 3000, FI-90014 Oulu, Finland
(Received 26 September 2008; published 29 December 2008)
The 1=N expansion of the two-particle irreducible effective action offers a powerful approach to study
quantum field dynamics far from equilibrium. We investigate the effective convergence of the 1=N
expansion in the OšNŽ model by comparing results obtained numerically in 1 ž 1 dimensions at leading,
next-to-leading and next-to-next-to-leading order in 1=N as well as in the weak coupling limit. A
comparison in classical statistical field theory, where exact numerical results are available, is made as
well. We focus on early-time dynamics and quasiparticle properties far from equilibrium and observe
rapid effective convergence already for moderate values of 1=N or the coupling.
DOI: 10.1103/PhysRevD.78.125028 PACS numbers: 11.15.Pg, 05.30.Jp, 05.70.Ln
I. INTRODUCTION
The need to understand the dynamics in heavy ion
physics and the quark gluon plasma as well as highly
nonlinear phenomena in the (post-)inflationary universe
has lead to substantial development in the study of quan-

  

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

 

Collections: Physics