We calculate the damping rate γ l for longitudinal gluons with zero momentum in finite high temperature QCD and show that some of its contributing terms are infrared divergent. This is in contrast with the expectation that this damping rate is to be equal to the corresponding one γ t for transverse gluons which is known to be finite. Our calculation was motivated by the fact that similar divergent terms occur when we calculated in a previous work γ t to order p 2 , p being the momentum of the gluon. After we present our results, we briefly discuss them.
Abstract:We determine the next-to-leading order dispersion laws for slow-moving quarks in hard-thermal-loop perturbation of high-temperature QCD where weak coupling is assumed. Real-time formalism is used. The next-to-leading order quark self-energy is written in terms of three and four HTL-dressed vertex functions. The hard thermal loops contributing to these vertex functions are calculated ab initio and expressed using the Feynman parametrization which allows the calculation of the solid-angle integrals involved. We use a prototype of the resulting integrals to indicate how finite results are obtained in the limit of vanishing regularizer.
We give the analytic expression of the next-to-leading order contribution to the longitudinal gluons energy in high-temperature quantum chromodynamic using the real-time formalism of finite-temperature quantum field theory. We also give the expressions of the effective propagators and vertex functions.
We give a compact analytic expression for the fully-dressed next-to-leading order contribution to the retarded quark self-energy in the context of hard-thermal-loop summed perturbation of massless QCD at high temperature. We also give the analytic expressions of the hard thermal loop vertex functions. The calculation is done using the real-time formalism.
We report in this communication on the first phase of our attempt to calculate the next-to-leading order energy of slow-moving longitudinal gluons in the context of the real-time formalism of hard-thermal-loop perturbation theory. A compact analytic expression for the complete next-to-leading retarded longitudinal-gluon self-energy is given.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.