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

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

2007-10-25

arxiv.org/abs/0710.4627v3

Phys. Lett. B 670, 135 (2008)

Physics

Condensed Matter

Other Condensed Matter

6 pages, RevTeX, 5 figures, published version

Scientific paper

10.1016/j.physletb.2008.10.049

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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