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From the Dyson-Schwinger to the Transport Equation in the Background Field Gauge of QCD | | Q. Wang
; K. Redlich
; H. Stöcker
; W. Greiner
; | | Date: |
16 Feb 2002 | | Journal: | Nucl.Phys. A714 (2003) 293-334 | | Subject: | hep-ph | | Abstract: | 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. | | Source: | arXiv, hep-ph/0202165 | | Services: | Forum | Review | PDF | Favorites | |
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