Fermion self-energy corrections in perturbative theory at finite temperature

T. Altherr; P. Aurenche

doi:10.1103/PhysRevD.40.4171

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Fermion self-energy corrections in perturbative theory at finite temperature

T. Altherr

P. Aurenche

Laboratoire d’Annecy-le-Vieux de Physique des Particules, Institut National de Physique Nucléaire et de Physique des Particules, Boîte Postale No. 110, 74941 Annecy-le-Vieux CEDEX, France

Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510

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Phys. Rev. D 40, 4171 – Published 15 December, 1989

DOI: https://doi.org/10.1103/PhysRevD.40.4171

Abstract

We discuss various aspects of self-energy corrections to the fermion propagator at a finite temperature. Several calculational methods not relying on the renormalization of the mass or of the wave function are discussed. General expressions are given. It is shown that, when calculating a physical process, the thermal mass enters essentially the phase-space factor and not the dynamical part of the process, at least in some limiting cases. Comparison with the renormalization approach is discussed and it appears that there are no ambiguities in the calculation of the self-energy corrections at finite temperature.

References (15)

D. J. Gross, R. D. Pisarski and L. G. Yaffe, Rev. Mod. Phys. 53, 43 (1981).
O. K. Kalashnikov, Fortschr. Phys. 32, 525 (1984).
N. P. Landsman and Ch. G. Van Weert, Phys. Rep. 145, 141 (1987).
V. V. Klimov, Yad. Fiz. 33, 1734 (1981) [Sov. J. Nucl. Phys. 33, 934 (1981)]; Zh. Eksp. Teor. Fiz. 82, 336 (1982) [Sov. Phys. JETP 55, 199 (1982)].
H. A. Weldon, Phys. Rev. D 26, 2789 (1982).
J. F. Donoghue and B. R. Holstein, Phys. Rev. D 28, 340 (1983); ibid. 29, 3004(E) (1984); J. F. Donoghue, B. R. Holstein and R. W. Robinett, Ann. Phys. (N.Y.) 164, 233 (1985).
W. Keil and R. Kobes, University of British Columbia report, presented at the Workshop on Thermal Field Theories, Case Western Reserve University, Cleveland, 1988 (unpublished); W. Keil, Phys. Rev. D 40, 1176 (1989).
J. Cleymans and I. Dadic, Z. Phys. C 42, 133 (1989); University of Cape Town Report No. UCT-TP 104/1988 (unpublished).
T. Altherr, P. Aurenche and T. Becherrawy, Nucl. Phys. B315, 436 (1989).
R. Baier, B. Pire and D. Schiff, Phys. Rev. D 38, 2814 (1988).
T. Grandou, M. Le Bellac and J.-L. Meunier, Z. Phys. C 43, 575 (1989).
T. Altherr and T. Becherrawy, Nucl. Phys. B (to be published).
R. L. Kobes and G. W. Semenoff, Nucl. Phys. B260, 714 (1985); ibid. B272, 329 (1986).
A. J. Niemi and G. W. Semenoff, Ann. Phys. (N.Y.) 152, 105 (1984).
T. Altherr and P. Aurenche, Z. Phys. C (to be published).

[c1] D. J. Gross, R. D. Pisarski and L. G. Yaffe, Rev. Mod. Phys. 53, 43 (1981).

[c2] O. K. Kalashnikov, Fortschr. Phys. 32, 525 (1984).

[c3] N. P. Landsman and Ch. G. Van Weert, Phys. Rep. 145, 141 (1987).

[c4] V. V. Klimov, Yad. Fiz. 33, 1734 (1981) [Sov. J. Nucl. Phys. 33, 934 (1981)]; Zh. Eksp. Teor. Fiz. 82, 336 (1982) [Sov. Phys. JETP 55, 199 (1982)].

[c5] H. A. Weldon, Phys. Rev. D 26, 2789 (1982).

[c6] J. F. Donoghue and B. R. Holstein, Phys. Rev. D 28, 340 (1983); ibid. 29, 3004(E) (1984); J. F. Donoghue, B. R. Holstein and R. W. Robinett, Ann. Phys. (N.Y.) 164, 233 (1985).

[c7] W. Keil and R. Kobes, University of British Columbia report, presented at the Workshop on Thermal Field Theories, Case Western Reserve University, Cleveland, 1988 (unpublished); W. Keil, Phys. Rev. D 40, 1176 (1989).

[c8] J. Cleymans and I. Dadic, Z. Phys. C 42, 133 (1989); University of Cape Town Report No. UCT-TP 104/1988 (unpublished).

[c9] T. Altherr, P. Aurenche and T. Becherrawy, Nucl. Phys. B315, 436 (1989).

[c10] R. Baier, B. Pire and D. Schiff, Phys. Rev. D 38, 2814 (1988).

[c11] T. Grandou, M. Le Bellac and J.-L. Meunier, Z. Phys. C 43, 575 (1989).

[c12] T. Altherr and T. Becherrawy, Nucl. Phys. B (to be published).

[c13] R. L. Kobes and G. W. Semenoff, Nucl. Phys. B260, 714 (1985); ibid. B272, 329 (1986).

[c14] A. J. Niemi and G. W. Semenoff, Ann. Phys. (N.Y.) 152, 105 (1984).

[c15] T. Altherr and P. Aurenche, Z. Phys. C (to be published).

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Fermion self-energy corrections in perturbative theory at finite temperature

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