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

Abstract

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.

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

References in corpus (1)

• A potential infrared problem with the damping rates for gluons with soft momentum in hot QCD

Cited by in corpus (6)

• Advances in perturbative thermal field theory
• Photon Damping in One-Loop HTL Perturbation Theory
• Infrared Behavior of High-Temperature QCD
• Infrared behavior of the dispersion relations in high-temperature scalar QED
• NLO quark self-energy and dispersion relation using the hard thermal loop resummation
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD