TY  - INPR
A1  - Wang, Qun
A1  - Redlich, Krzysztof
A1  - Stöcker, Horst
A1  - Greiner, Walter
T1  - From the Dyson-Schwinger to the transport equation in the background field gauge of QCD.
N2  - 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
KW  - non-equilibrium quantum field dynamics
KW  - Dyson-Schwinger equation
KW  - non-equilibrium quantum field dynamics
KW  - Dyson-Schwinger equation
Y1  - 2002
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/3293
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30-21271
ER  -