From the Dyson-Schwinger to the transport equation in the background field gauge of QCD.

  • The non-equilibrium quantum field dynamics is usually described in the closed-time-path formalism. The initial state correlations are introduced into the generating functional by non-local source terms. We propose a functional approach to the Dyson-Schwinger equation, which treats the non-local and local source terms in the same way. In this approach, the generating functional is formulated for the connected Green functions and one-particle-irreducible vertices. The great advantages of our approach over the widely used two-particle-irreducible method are that it is much simpler and that it is easy to implement the procedure in a computer program to automatically generate the Feynman diagrams for a given process. The method is then applied to a pure gluon plasma to derive the gauge-covariant transport equation from the Dyson-Schwinger equation in the background covariant gauge. We discuss the structure of the kinetic equation and show its relationship with the classical one. We derive the gauge-covariant collision part and present an approximation in the vicinity of equilibrium. The role of the non-local source kernel in the non-equilibrium system is discussed in the context of a free scalar field. PACS numbers: 12.38.Mh, 25.75.-q, 24.85.+p, 11.15.Kc

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Author:Qun Wang, Krzysztof RedlichORCiDGND, Horst StöckerORCiDGND, Walter GreinerGND
Document Type:Preprint
Date of Publication (online):2005/11/16
Year of first Publication:2002
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2005/11/16
Tag:Dyson-Schwinger equation; non-equilibrium quantum field dynamics
GND Keyword:non-equilibrium quantum field dynamics; Dyson-Schwinger equation
Source:Nucl.Phys.A714:293-334,2003. [hep-ph/0202165] , Version 2
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoDeutsches Urheberrecht