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Phys. Rev. Lett. 72, 3461–3463 (1994)

Deriving the hard thermal loops of QCD from classical transport theory

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P. F. Kelly, Q. Liu, C. Lucchesi, and C. Manuel
Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 30 March 1994; published in the issue dated 30 May 1994

Classical transport theory is employed to analyze the hot quark-gluon plasma at the leading order in the coupling constant. A condition on the (covariantly conserved) color current is obtained. From this condition, the generating functional of hard thermal loops with an arbitrary number of soft external bosonic legs can be derived. Our approach, besides being more direct than alternative ones, shows that hard thermal loops are essentially classical.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.72.3461
DOI:
10.1103/PhysRevLett.72.3461
PACS:
12.38.Mh, 11.10.Wx, 11.15.Kc, 51.10.+y