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arXiv · hep-ph/9406285

Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma

P. F. Kelly·Q. Liu·C. Lucchesi·C. Manuel
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Abstract

Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian Vlasov equations is verified and used as a guiding principle in our approximation scheme.We then derive the generating functional of hard thermal loops from a constraint satisfied at leading-order by the color current. This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially {\it classical}. As an illustration, we analyze color polarization in the QCD plasma.

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P. F. Kelly, Q. Liu, C. Lucchesi, C. Manuel. 1994-06-10. Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma. https://doi.org/10.1103/physrevd.50.4209

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