On the Gluon Plasmon Self-Energy at O(g)

Details On the Gluon Plasmon Self-Energy at O(g) On the Gluon Plasmon Self-Energy at O(g)

1995-01-06

arxiv.org/abs/hep-ph/9501229v1

Phys.Lett. B349 (1995) 504-512

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX

Scientific paper

10.1016/0370-2693(95)00249-K

The next-to-leading order contribution $\d\P\omn (\o ,\vc q )$ to the polarization function of the hot gluon system is analysed at non-zero wave vectors $\vc q \,$. Using Braaten-Pisarski resummation and general covariant gauges, $\d\P\omn$ is found to be gauge-fixing independent and transverse on the longitudinal mass-shell. The real part of the longitudinal component $\d\P_\ell$ is UV and IR stable (for real $q$). At imaginary $q$ it is IR singular, and at the point $\o=0$, $q^2=-3m^2$ it coincides with the result of Rebhan for next-to-leading order Debye screening. When $q$ approaches the lightcone, $\d\P_\ell $ diverges like $1 / \wu {\o^2 - q^2} $, reflecting the breakdown of the Braaten-Pisarski decomposition scheme in this limit.

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