The fermion mass at next-to-leading order in the HTL effective theory

Abstract

The calculation of the real part of a quasi-particle dispersion relation at next-to-leading order in the hard thermal loop effective theory is a very difficult problem. Even though the hard thermal loop effective theory is almost 20 years old, there is only one next-to-leading order calculation of the real part of a quasi-particle dispersion relation in the literature. In this paper, we calculate the fermion mass in QED and QCD at next-to-leading order. For QED the result is M=eT/sqrt{8} * [1-(1.427 \pm 0.02)e/4pi] and for QCD with N_f=2 and N_c=3 we obtain M=gT/sqrt{6} * [1+(1.867 \pm 0.02)g/4pi].

9 pages, 5 figures

References in corpus (2)

• Real time statistical field theory
• The soft fermion dispersion relation at next-to-leading order in hot QED

Cited by in corpus (8)

• Soft interactions in cold quark matter
• On the smallest screening masses in hot QCD
• A brief overview of hard-thermal-loop perturbation theory
• Three-loop HTL Free Energy for QED
• On the dispersion of fundamental particles in QCD and N=4 Super Yang-Mills theory
• Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma
• NLO quark self-energy and dispersion relation using the hard thermal loop resummation
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD