Skip to main content
Log in

Anomalous magnetic moment at finite chemical potential and external field effects

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We calculate the anomalous magnetic moment of a massive Dirac fermion at non-zero temperature and chemical potential. In the course of our work we also discuss the non-linear electromagnetic field dependence. Finally we derive the effective magnetic moment is curved space and show that the recently proposed large effect due to the gravitational field is not measured in present experiments.

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. Proceedings of the Workshop on Thermal field theories and their applications, Ohio 1988, K.L. Kowalski, Ch. G. van Weert, N.P. Landsman (eds.), Physica A158 (1989)

  2. J.I. Kapusta: Finite-temperature field theory. Cambridge: Cambridge Univ. Press 1989

    Google Scholar 

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

    Google Scholar 

  4. N.P. Landsman, Ch.G. van Weert: Phys. Rep. 145 (1987) 1

    Google Scholar 

  5. A.D. Linde: Rep. Prog. Phys. 42 (1979) 389

    Google Scholar 

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

    Google Scholar 

  7. G. Peressutti, B.-S. Skagerstam: Phys. Lett. 110B (1982) 406; A. E.I. Johansson, G. Peressutti, B.-S. Skagerstam: Nucl. Phys. B278 (1986) 324

    Google Scholar 

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

    Google Scholar 

  9. J.F. Donoghue, B.R. Holstein: Phys. Rev. D28 (1983) 340; (E) D29 (1983) 3004

    Google Scholar 

  10. J.F. Donoghue, B.R. Holstein, R.W. Robinett: Phys. Rev. D30 (1984) 220; Ann. Phys. (N.Y.) 164 (1985) 233

    Google Scholar 

  11. L.S. Brown, T.W.B. Kibble: Phys. Rev. 133 (1964) A705; T.W.B. Kibble: Phys. Rev. Lett. 16 (1966) 1054

    Google Scholar 

  12. B.-S. Skagerstam: Thermal effects in particle and string theories, in the Proceedings of the Workshop on Superstrings and particle theory, Tuscaloosa 1989; L. Clavelli, S. Jones, B. Harms, A. Stern (eds.) Singapore: World Scientific 1990

    Google Scholar 

  13. G. Barton: On the finite-temperature quantum electrodynamics of free electrons and photons, preprint, University of Sussex, 1989

  14. V.V. Klimov: Sov. J. Nucl. Phys. 33 (1981) 934; Sov. Phys. JETP 55 (1982) 199; H.A. Weldon: Phys. Rev. D26 (1982) 2789 and contribution in Ref. 1

    Google Scholar 

  15. J.-L. Cambier, J.R. Primack, M. Sher: Nucl. Phys. B209 (1982) 372, ibid. (E) B222 517

    Google Scholar 

  16. L. Hollberg, L. Hall: Phys. Rev. Lett. 53 (1984) 230

    Google Scholar 

  17. E.J. Levinson, D.H. Boal: Phys. Rev. D31 (1985) 3280; T. Toimela: Nucl. Phys. B273 (1986) 719

    Google Scholar 

  18. T.S. Evans, Three-point functions at finite temperature, preprint, University of Alberta, February 1990

  19. R. Kobes: A correspondence between imaginary time and real time finite temperature field theory, and Comparing graphs in the imaginary time and real time formalism, preprints, University of Winnipeg, March 1990

  20. R.L. Kobes, G.W. Semenoff, N. Weiss: Z. Phys. C—Particles and Fields 37 (1985) 371

    Google Scholar 

  21. E.P. Tyron: Phys. Rev. Lett. 32 (1974) 1139; D. Eimerl: Phys. Rev. D12 (1975) 427; K. Takahashi: Phys. Rev. D29 (1984) 632

    Google Scholar 

  22. Y. Fujimoto, H. Yamada: Z. Phys. C—Particles and Fields 29 (1985) 371

    Google Scholar 

  23. M. Gell-Mann, K.A. Brueckner: Phys. Rev. 106 (1957) 364

    Google Scholar 

  24. E.S. Fradkin: JETP 36 (1059) 1286; Sov. Phys. JETP 9 (1959) 912; I.A. Akhiezer, S.V. Peletminskii: Sov. Phys. JETP 11 (1960) 1316

    Google Scholar 

  25. S. Midorikawa: Prog. Theor. Phys. 67 (1982) 661, H.A. Weldon: Phys. Rev. D26 (1982) 1394; S. Midorikawa, Y. Yamaguchi: Prog. Theor. Phys. 76 (1986) 311; H. Yamada: Phys. Lett. B223 (1989) 229

    Google Scholar 

  26. N.W. Ashcroft N.D. Mermin: Solid state physics. Appendix C Philadelphia: Holt-Saunders 1976

    Google Scholar 

  27. J. Schwinger: Phys. Rev. 82 (1951) 664

    Google Scholar 

  28. A. Chodos, D.A. Owen, M. Sommerfield: Phys. Lett. 212B (1988) 491

    Google Scholar 

  29. S.L. Shapiro, S.A. Teukolsky: Black holes, white dwarfs and neutron stars, the physics of compact objects. New York: Wiley 1983

    Google Scholar 

  30. J.R.P. Angel: Annu. Rev. Astron. Astrophys. 16 (1978) 487

    Google Scholar 

  31. A. Widom, C.C. Chen: Mod. Phys. Lett. A3 (1988) 1227

    Google Scholar 

  32. F.H. Combley: Rep. Prog. Phys. 42 (1979) 1889; F.J.M. Farley, E. Picasso: Annu. Rev. Nucl. Part. Sci. 29 (1979) 243 and references therein

    Google Scholar 

  33. M. Gasperini: Mod. Phys. Lett. A4 (1989) 1681

    Google Scholar 

  34. N.D. Birrell, P.C.W. Davies: Quantum fields in curved space. Cambridge: Cambridge Univ. Press 1982

    Google Scholar 

  35. A. Messiah: Mécanique Quantique Vol. 2 Paris: Dunod 1972

    Google Scholar 

  36. L.L. Foldy, S.A. Wouthuysen: Phys. Rev. 78 (1950) 29

    Google Scholar 

  37. L. Landau, E. Lifshitz: Théorie de champs. Sect. 96. Moscow: Edition Mir 1970

    Google Scholar 

  38. J.C. Wesley, A. Rich: Phys. Rev. A4 (1971) 1341; Rev. Mod. Phys. 44 (1972) 250

    Google Scholar 

  39. T. Kinoshita, W.B. Lindquist: Eight-order magnetic moment of the electron. V. Diagrams containing no vacuum-polarization loop, preprint, Cornell, 1989, and references cited therein. For a recent review see T. Kinoshita: Quantum electrodynamics Singapore: World Scientific (in press)

  40. R.S. Van Dyck, Jr., P.B. Schwinberg, H.G. Dehmelt: Phys. Rev. Lett. 59 (1987) 26

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by the Swedish Natural Science Reseach Council under contract No. 8244-103

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elmfors, P., Skagerstam, B.S. Anomalous magnetic moment at finite chemical potential and external field effects. Z. Phys. C - Particles and Fields 49, 251–259 (1991). https://doi.org/10.1007/BF01555498

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01555498

Keywords

Navigation