A Remark on nonAbelian classical kinetic theory

Nov, 2001
6 pages
Published in:
  • Phys.Rev.D 65 (2002) 077902
e-Print:
Report number:
  • CERN-TH-2001-309

Citations per year

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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 trA04tr A_0^4 only for matter in asymptotically high dimensional colour representations.
  • 05.20.Dd
  • 11.10.Wx
  • 12.38.Mh
  • Boltzmann equation: nonabelian
  • quark
  • gluon
  • background field
  • effective action
  • field theory
  • current: gauge