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19 April 2024
 
  » arxiv » 0805.0170

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The fermion mass at next-to-leading order in the HTL effective theory
M.E. Carrington ; A. Gynther ; D. Pickering ;
Date 2 May 2008
AbstractThe 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].
Source arXiv, 0805.0170
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