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

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

1994-06-10

arxiv.org/abs/hep-ph/9406285v1

Phys.Rev.D50:4209-4218,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

MIT--CTP #2320, 23 pages, Revtex

Scientific paper

10.1103/PhysRevD.50.4209

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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