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

2008

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

Carrington, M. E., Gynther, A., Pickering, D.

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Understand

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].

Built on

E. Braaten and R.D. Pisarski, Phys. Rev. D 42
1990
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E. Braaten and R.D. Pisarski, Nucl. Phys. B337
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R. Kobes, G. Kunstatter and A. Rebhan, Phys. Rev. Lett
1991
Earlier work this paper cites.
R. Kobes, G. Kunstatter and K. Mak, Phys. Rev. D 45
1992
Earlier work this paper cites.

Similar

E. Braaten and R.D. Pisarski, D 46
1992
Cited alongside, same era.
R. Baier, G. Kunstatter and D. Schiff, Phys. Rev. D45
1992
Cited alongside, same era.
A. Rebhan, Phys. Rev. D46
1992
Cited alongside, same era.
H. Schulz, Nucl. Phys. B413
1993
Cited alongside, same era.

Then

I. Mitra, Phys. Rev. D
2000
Later among the works it cites.
M.E. Carrington, Phys. Rev. D 75
2007
Later among the works it cites.
M. E. Carrington, T. Fugleberg, D. S. Irvine and D. Pickering, Eur. Phys. J. C 50
2007
Later among the works it cites.
M.E. Carrington and E. Mottola, Nucl. Phy. A785
Original
2007
Later among the works it cites.

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