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The European Physical Journal C

, Volume 70, Issue 1–2, pp 423–443 | Cite as

Far-from-equilibrium quantum many-body dynamics

  • Thomas GasenzerEmail author
  • Stefan Keßler
  • Jan M. Pawlowski
Regular Article - Theoretical Physics

Abstract

A theory of real-time quantum many-body dynamics is evaluated in detail. It is based on a generating functional of correlation functions where the closed time contour extends only to a given time. Expanding the contour from this time to a later time leads to a dynamic flow of the generating functional. This flow describes the dynamics of the system and has an explicit causal structure. In the present work it is evaluated within a vertex expansion of the effective action leading to time-evolution equations for Green functions. These equations are applicable for strongly interacting systems as well as for studying the late-time behavior of non-equilibrium time evolution. For the specific case of a bosonic \(\mathcal{N}\)-component φ 4-theory with contact interactions an s-channel truncation is identified to yield equations identical to those derived from the 2PI effective action in next-to-leading order of a \(1/\mathcal{N}\) expansion. The presented approach allows to directly obtain non-perturbative dynamic equations beyond the widely used 2PI approximations.

Keywords

Dynamic Equation Time Argument Initial Density Matrix Bare Vertex Close Time Path 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • Thomas Gasenzer
    • 1
    • 2
    Email author
  • Stefan Keßler
    • 1
    • 3
    • 2
  • Jan M. Pawlowski
    • 1
    • 2
  1. 1.Institut für Theoretische PhysikUniversität HeidelbergHeidelbergGermany
  2. 2.ExtreMe Matter Institute EMMIGSI Helmholtzzentrum für Schwerionenforschung GmbHDarmstadtGermany
  3. 3.Institut für Theoretische PhysikUniversität Erlangen-NürnbergErlangenGermany

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