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Thermalization of fermionic quantum fields

2002/12/31 by J. Berges, Jürgen Berges, Sz. Borsanyi +3 · 17 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research #Quantum, superfluid, helium dynamics #astro-ph #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1016/s0550-3213(03)00261-x

published as Nucl.Phys.B660:51-80,2003 · 38 pages, 8 figures. Minor corrections

arxiv created 2003/03/20 · openalex publication_date 2003/05/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We solve the nonequilibrium dynamics of a 3+1 dimensional theory with Dirac fermions coupled to scalars via a chirally invariant Yukawa interaction. The results are obtained from a systematic coupling expansion of the 2PI effective action to lowest non-trivial order, which includes scattering as well as memory and off-shell effects. The dynamics is solved numerically without further approximation, for different far-from-equilibrium initial conditions. The late-time behavior is demonstrated to be insensitive to the details of the initial conditions and to be uniquely determined by the initial energy density. Moreover, we show that at late time the system is very well characterized by a thermal ensemble. In particular, we are able to observe the emergence of Fermi--Dirac and Bose--Einstein distributions from the nonequilibrium dynamics.

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