An infrared singularity in the damping rate for longitudinal gluons in hot QCD

Details An infrared singularity in the damping rate for longitudinal gluons in hot QCD An infrared singularity in the damping rate for longitudinal gluons in hot QCD

1998-07-21

arxiv.org/abs/hep-ph/9807439v2

Phys.Lett. B463 (1999) 117-125

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, RevTeX. Two signs corrected. Same result but substantially rewritten with more emphasis on the infrared problem. Ref

Scientific paper

10.1016/S0370-2693(99)00959-4

We calculate $\gamma_l(0)$, the damping rate for longitudinal on-shell gluons with zero momentum in hot QCD using the hard-thermal-loop (htl) scheme. We find it to be divergent in the infrared, which means that in this scheme $\gamma_l(0)$ is different from $\gamma_t(0)$, the corresponding damping rate for transverse gluons which is known to be finite. This result suggests that the htl scheme is infrared sensitive and thus may need to be improved upon in this sector. We discuss this issue after we present our calculation.

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