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arXiv · 0805.0170

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

M. E. Carrington·A. Gynther·D. Pickering
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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].

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M. E. Carrington, A. Gynther, D. Pickering. 2008-05-02. The fermion mass at next-to-leading order in the HTL effective theory. https://doi.org/10.1103/physrevd.78.045018

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