A remark on non-Abelian classical kinetic theory release_yzmrvdmdurajnjvf4getfi6egy

by Mikko Laine, Cristina Manuel

Released as a report .

2001  

Abstract

It is known that non-Abelian classical kinetic theory reproduces the Hard Thermal/Dense Loop (HTL/HDL) effective action of QCD, obtained after integrating out the hardest momentum scales from the system, as well as the first higher dimensional operator beyond the HTL/HDL level. We discuss here its applicability at still higher orders, by comparing the exact classical effective action obtained in the static limit, with the 1-loop quantum effective potential. We remark that while correct types of operators arise, the classical colour algebra reproduces correctly the prefactor of the 4-point function tr A_0^4 only for matter in asymptotically high dimensional colour representations.
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Type  report
Stage   submitted
Date   2001-11-09
Version   v1
Language   en ?
Number  CERN-TH/2001-309
arXiv  hep-ph/0111113v1
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