A remark on non-Abelian classical kinetic theory

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.

6 pages

References in corpus (2)

• A local Langevin equation for slow long-distance modes of hot non-Abelian gauge fields
• Finite baryon density effects on gauge field dynamics

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