Skip to main content
SpringerLink
Log in

On the Charge Form Factor and Eigenvalue of Fermion Energy in a Three-Dimensional Electrodynamics

  • Published:
Russian Physics Journal Aims and scope

Abstract

A static field and self-energy of a particle are considered for a particle charge distributed throughout a 2 + 1-measurement space. The potential of the static field for r → ∞ has the same asymptotics as for the delta form factor, provided an account is taken of the contribution from vacuum polarization; at the origin of coordinates, the above potential is regular. The proposed form factor allows a relation for the particle charge distribution to be derived in a closed form. The diagonal tension-tensor components of the particle-generated field are found to vanish and the particle field mass calculated using the classical method appears to be finite in the case where the proposed form factor is used. This mass coincides with that obtained through quantum calculations by the order of magnitude.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. L. J. R. Aitchison and N. E. Mavromatos, Report-No. OUTE-95-320.

  2. R. Pisarski, Phys. Rev., D29, No. 10, 2423 (1984).

    Google Scholar 

  3. T. Apppelquist, D. Nash, and L. C. R. Wiewardhana, Phys. Rev. Lett., 60, No. 25, 2575 (1988).

    Google Scholar 

  4. V. P. Gusynin, Phys. Rev., D53, No. 4, 2227 (1995).

    Google Scholar 

  5. D. D. Ivanenko and A. A. Sokolov, The Classical Field Theory [in Russian], Gos. Izd. Teor. Tekh. Literatury, Moscow (1951).

    Google Scholar 

  6. P. I. Fomin, Fiz. Elem. Chast. Atom. Yader, No. 3, 687 (1976).

    Google Scholar 

  7. G. V. Efimov, Nonlocal Interactions of Quantum Fields [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  8. M. Sh. Pevzner, Uspekhi Fiz. Nauk, 45, No. 12, 1409 (2000).

    Google Scholar 

  9. M. Sh. Pevzner, Russ. Phys. J., No. 11, 112 (1998).

    Google Scholar 

  10. M. Sh. Pevzner, Uspekhi Fiz. Nauk, 44, No. 10, 1294 (1999).

    Google Scholar 

  11. V. A. Miransky, Nuovo. Cim., 90A, No. 2, 148 (1985).

    Google Scholar 

  12. V. R. Khalilov and Lin Ho Choon, Mod. Phys. Lett., A13, 615 (1998).

    Google Scholar 

  13. T. Appelquist, M. Bowick, D. Karabali, and L. C. R. Wijewardhana, Phys. Rev., D33, No. 12, 3704 (1996).

    Google Scholar 

  14. M. Sh. Pevzner, Russ. Phys. J., No. 6, 99 (2000).

    Google Scholar 

  15. V. P. Gusynin, A. H. Hams, and M. R. Reenders, Phys. Rev., D53, No. 4, 2227 (1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Mining University of Ukraine, Ukraine

    M. Sh. Pevzner

Authors
  1. M. Sh. Pevzner
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pevzner, M.S. On the Charge Form Factor and Eigenvalue of Fermion Energy in a Three-Dimensional Electrodynamics. Russian Physics Journal 46, 656–661 (2003). https://doi.org/10.1023/B:RUPJ.0000008194.91332.3b

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:RUPJ.0000008194.91332.3b

Keywords

Search

Navigation