Skip to main content
Log in

Thermo-field dynamics and one-loop order QED at finite temperature

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

Thermo Field Dynamics is used to evaluate the temperature corrections to: i) the electron mass, ii) the electric and magnetic correlation lengths, and iii) the electron magnetic moment. Calculations are carried out in a covariant way. The results for i) and ii) are consistent with calculations by other authors using different frameworks, while our temperature-dependent correction to the electron magnetic moment (iii)) turns out to differ from the one previously evaluated. Ward-Takahashi identities are obtained and verified as a consistency proof.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H.A. Weldon: Phys. Rev.D26, 1394 (1982)

    Google Scholar 

  2. H. Umezawa, H. Matsumoto, M. Tachiki: Thermo-field dynamics and condensed states. Amsterdam North-Holland 1982

    Google Scholar 

  3. C. Bernard: Phys. Rev.D9, 3312 (1974)

    Google Scholar 

  4. T. Matsubara: Prog. Theor. Phys.14, 351 (1955)

    Google Scholar 

  5. M.B. Kislinger, P.D. Morley: Phys. Rev.D13, 2765 (1976); P.D. Morley: Phys. Rev.D17, 598 (1978)

    Google Scholar 

  6. D.J. Gross, R.D. Pissarski, L.G. Yaffe: Rev. Mod. Phys.53, 43 (1981)

    Google Scholar 

  7. L. Dolan, R. Jackiw: Phys. Rev.D9, 3320 (1974)

    Google Scholar 

  8. J.F. Donoghue, B.R. Holstein, R.W. Robinett: Phys. Rev.D30, 2561 (1984)

    Google Scholar 

  9. G. Peressutti, B.S. Skagerstam: Phys. Lett.110B, 406 (1982)

    Google Scholar 

  10. R. Tarrach: Phys. Lett.133B, 259 (1983)

    Google Scholar 

  11. Y. Takahashi, H. Umezawa: Coll. Phen.2, 55 (1975). Some updated reviews can be found in: H. Matsumoto: Fortschr. Phys.25, 1 (1977); I. Ojima: Ann. Phys.137, 1 (1981); G.W. Semenoff, H. Umezawa: Nucl. Phys.B220 [FS8], 196 (1983); R.L. Kobes, G.W. Semenoff, N. Weiss: Z. Phys. C-Particles and Fields29, 371 (1985)

    Google Scholar 

  12. Y. Fujimoto, R. Grigjanis, R. Kobes: Prog. Theor. Phys.73, 434 (1985)

    Google Scholar 

  13. A.J. Niemi, G.W. Semenoff: Nucl. Phys.B230, 181 (1984)

    Google Scholar 

  14. H. Matsumoto, I. Ojima, H. Umezawa: Ann. Phys.152, 348 (1984)

    Google Scholar 

  15. F. Ruiz Ruiz, R.F. Alvarez-Estrada: Phys. Lett.180B, 153 (1986)

    Google Scholar 

  16. F. Ruiz Ruiz: Efectos de temperaturay análisis del límite clásico en Teoría Cuántica de Campos, Ph. D. Thesis, Universidad Complutense (1986)

  17. Y. Fujimoto, J.H. Yee: Phys. Lett.114B, 359 (1982)

    Google Scholar 

  18. W. Israel: Physica A106, 204 (1981)

    Google Scholar 

  19. G. t Hooft, M. Veltman: Diagramar, CERN Yellow Report 73-9 (1973)

  20. C. Itzykson, J.B. Zuber: Quantum field theory. New York: McGraw-Hill 1980

    Google Scholar 

  21. P.H. Cox, W.S. Hellman, A. Yildiz: Ann. Phys.154, 211 (1984)

    Google Scholar 

  22. A. Palanques-Mestre, R. Tarrach: Lett. Nuov. Cimento43, 237 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ruiz, F.R., Alvarez-Estrada, R.F. Thermo-field dynamics and one-loop order QED at finite temperature. Z. Phys. C - Particles and Fields 34, 131–138 (1987). https://doi.org/10.1007/BF01561124

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01561124

Keywords

Navigation