From the Dyson-Schwinger to the Transport Equation in the Background Field Gauge of QCD

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dc.creatorWang, Q.
dc.creatorRedlich, K.
dc.creatorStöcker, H.
dc.creatorGreiner, W.
dc.date2002-02-16
dc.date2002-10-29
dc.date.accessioned2026-07-07T12:02:52Z
dc.date.available2026-07-07T12:02:52Z
dc.descriptionThe 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.
dc.descriptionRevtex 4, 37 pages, 6 figures, with section VI rewritten and some errors corrected, final version to be published by Nucl. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-ph/0202165
dc.identifierhttp://arxiv.org/abs/hep-ph/0202165
dc.identifierNucl.Phys.A714:293-334,2003
dc.identifierdoi:10.1016/S0375-9474(02)01357-X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207587
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFrom the Dyson-Schwinger to the Transport Equation in the Background Field Gauge of QCD
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