Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-02-16
Nucl.Phys.A714:293-334,2003
Physics
High Energy Physics
High Energy Physics - Phenomenology
Revtex 4, 37 pages, 6 figures, with section VI rewritten and some errors corrected, final version to be published by Nucl. Phy
Scientific paper
10.1016/S0375-9474(02)01357-X
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.
Greiner Walter
Redlich Krzysztof
Stocker Horst
Wang Qiangguo
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