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Elze,; Lendle,; Doerr,; Edens,; Hebestreit, Antje; Katsch, G.; Kaufmann, C.; Bohnenkamp,

doi:10.1007/bf01774798

Cited by 1 publication

(2 citation statements)

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“…In order to calculate the induced current, we need the 2-point function G < (x, y). An equation of motion for this function can be obtained from the equation of motion for the time ordered propagator: 20) where δ C (x 0 , y 0 ) is the contour delta function, and Σ the scalar self-energy. The latter admits the following decomposition, similar to that of G, eq.…”

Section: Equations Of Motion For Green's Functionsmentioning

confidence: 99%

“…It should be emphasized that transport equations with a similar colour structure have been also proposed in Refs. [17,10], and that some of the technics that we shall be using have been used already by many authors [18,19,20,21,22]. However, in most of these works, the organizing role of the various dynamical scales which appear in hot QCD was not recognized, which led to unecessarily complicated, and sometimes inconsistent, equations.…”

Section: Introductionmentioning

confidence: 99%

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A Boltzmann equation for the QCD plasma

Blaizot¹,

Iancu²

1999

Nuclear Physics B

127

242

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We present a derivation of a Boltzmann equation for the QCD plasma, starting from the quantum field equations. The derivation is based on a gauge covariant gradient expansion which takes consistently into account all possible dependences on the gauge coupling assumed to be small. We point out a limitation of the gradient expansion arising when the range of the interactions becomes comparable with that of the space-time inhomogeneities of the system. The method is first applied to the case of scalar electrodynamics, and then to the description of long wavelength colour fluctuations in the QCD plasma. In the latter case, we recover Bödecker's effective theory and its recent reformulation by Arnold, Son and Yaffe. We discuss interesting cancellations among various collision terms, which occur in the calculation of most transport coefficients, but not in that of the quasiparticle lifetime, or in that of the relaxation time of colour excitations.

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Section: Equations Of Motion For Green's Functionsmentioning

confidence: 99%