Functional renormalisation group approach to far-from-equilibrium quantum field dynamics

Dynamic equations for quantum fields far from equilibrium are derived by use of functional renormalisation group techniques. The obtained equations are non-perturbative and lead substantially beyond mean-field and quantum Boltzmann type approximations. The approach is based on a regularised version...

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Bibliographic Details
Main Authors: Gasenzer, Thomas (Author) , Pawlowski, Jan M. (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2008
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0710.4627
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Author Notes:Thomas Gasenzer and Jan M. Pawlowski
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Summary:Dynamic equations for quantum fields far from equilibrium are derived by use of functional renormalisation group techniques. The obtained equations are non-perturbative and lead substantially beyond mean-field and quantum Boltzmann type approximations. The approach is based on a regularised version of the generating functional for correlation functions where times greater than a chosen cutoff time are suppressed. As a central result, a time evolution equation for the non-equilibrium effective action is derived, and the time-evolution of the Green functions is computed within a vertex expansion. It is shown that this agrees with the dynamics derived from the 1/N-expansion of the two-particle irreducible effective action.
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