From Kadanoff-Baym dynamics to off-shell parton transport

Abstract

This review provides a written version of the lectures presented at the Schladming Winter School 2008, Austria, on 'Nonequilibrium Aspects of Quantum Field Theory'. In particular, it shows the way from quantum-field theory - in two-particle irreducible approximation - to the Kadanoff-Baym (KB) equations and various approximations schemes of the KB equations in phase space. This ultimately leads to the formulation of an off-shell transport theory that well incorporates the underlying quantum physics. Remarkably, these transport equations may be solved within a testparticle representation that allows to study non-equilibrium quantum systems in the weak and strong coupling regime. Actual applications to dilepton production in heavy-ion reactions are presented in comparison with available data. The approach, furthermore, allows to address the hadronization process from partonic to hadronic degrees of freedom.

89 pages, 52 figures, lecture notes of the Schladming Winter School on 'Nonequilibrium Aspects of Quantum Field Theory'; to be published in a special issue of Eur. Phys. J

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Cited by in corpus (5)

• Molecular dynamics description of an expanding $q$/$\bar{q}$ plasma with the Nambu--Jona-Lasinio model and applications to heavy ion collisions at RHIC and LHC energies
• Dilepton production in proton-proton and Pb+Pb collisions at sqrt(s_NN)=2.76 TeV
• Dynamical equilibration of strongly interacting "infinite" parton matter within the parton-hadron-string dynamics transport approach
• Thermalization of magnons in yttrium-iron garnet: nonequilibrium functional renormalization group approach
• QCD equation of state in a virial expansion