NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD

TL;DR

This paper calculates the next-to-leading order dispersion relations for slow-moving quarks in high-temperature QCD using HTL perturbation theory and real-time formalism, providing detailed ab initio vertex function computations.

Contribution

It introduces a comprehensive method to compute NLO dispersion laws for slow quarks in HTL QCD, including explicit calculations of HTL-dressed vertex functions.

Findings

Derived NLO dispersion laws for slow-moving quarks

Calculated HTL vertex functions ab initio

Demonstrated finite results in regularization limit

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.