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arXiv · hep-ph/0402041

Infrared Behavior of High-Temperature QCD

A. Abada·K. Bouakaz·O. Azi
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Abstract

The damping rate γ_t(p) of on-shell transverse gluons with ultrasoft momentum p is calculated in the context of next-to-leading-order hard-thermal-loop-summed perturbation of high-temperature QCD. It is obtained in an expansion to second order in p. The first coefficient is recovered but that of order p^2 is found divergent in the infrared. Divergences from light-like momenta do also occur but are circumvented. Our result and method are critically discussed, particularly regarding a Ward identity obtained in the literature. When enforcing the equality between γ_t(0) and γ_l(0), a rough estimate of the magnetic mass is obtained. Carrying a similar calculation in the context of scalar quantum electrodynamics shows that the early ultrasoft-momentum expansion we make has little to do with the infrared sensitivity of the result.

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A. Abada, K. Bouakaz, O. Azi. 2004-02-04. Infrared Behavior of High-Temperature QCD. https://doi.org/10.1088/0031-8949%2F74%2F1%2F011

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