English

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

High Energy Physics - Phenomenology 2008-11-26 v1

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].

Keywords

Cite

@article{arxiv.0805.0170,
  title  = {The fermion mass at next-to-leading order in the HTL effective theory},
  author = {M. E. Carrington and A. Gynther and D. Pickering},
  journal= {arXiv preprint arXiv:0805.0170},
  year   = {2008}
}

Comments

9 pages, 5 figures