A remark on non-Abelian classical kinetic theory

Details A remark on non-Abelian classical kinetic theory A remark on non-Abelian classical kinetic theory

2001-11-09

arxiv.org/abs/hep-ph/0111113v1

Phys.Rev. D65 (2002) 077902

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages

Scientific paper

10.1103/PhysRevD.65.077902

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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