Russian Physics Journal

, Volume 38, Issue 4, pp 401–407 | Cite as

Furry representation for fermions interacting with an external gauge field

  • S. P. Gavrilov
  • D. M. Gitman
Elementary Particle Physics And Field Theory


We have obtained a Furry representation for the fermion sector (spin 1/2) of any gauge theory based on a semisimple compact group with an external field breaking down the stability of the vacuum. We have found expressions for the generating functionals of the matrix elements of the processes and averages, and have determined all the required types of propagators.


Matrix Element Gauge Theory External Field Compact Group Gauge Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    A. O. Barut and I. H. Duru, Phys. Rev.,D41, No. 4, 1312–1317 (1990).Google Scholar
  2. 2.
    D. M. Gitman, M. D. Noskov, and Sh. M. Shvartsman, Int. J. Mod. Phys.,6, No. 25, 4437–4489 (1991).Google Scholar
  3. 3.
    Yu. I. Klimenko and É. Yu. Klimenko, Zh. Éksp. Teor. Fiz.,99, 41–49 (1991).Google Scholar
  4. 4.
    G. K. Avetisyan, A. K. Avetisyan, and Kh. V. Sedranyan, Zh. Éksp. Teor. Fiz.,99, 50–57 (1991).Google Scholar
  5. 5.
    Y. Kluger and J. M. Eisenberg, Preprint/LA-UR, Los Alamos, No. 580 (1992).Google Scholar
  6. 6.
    V. Ch. Zhukovskii and A. V. Kurilin, Izv. Vuzov. Fiz., No. 4, 76–80 (1989).Google Scholar
  7. 7.
    A. V. Borisov, L. A. Vasilevskaya, and I. M. Ternov, Yadern. Fiz.,54, 1384–1390 (1992).Google Scholar
  8. 8.
    V. V. Skobelev, Izv. Vuzov. Fiz., No. 1 31–35 (1993).Google Scholar
  9. 9.
    Hideo Suganuma and Toshitaka Tatsumi, Phys. Lett.,B269, 371–376 (1991).Google Scholar
  10. 10.
    S. P. Klevansky, J. Jaenicke, and R. H. Lemmer, Phys. Rev.,43, 3040–3048 (1991).Google Scholar
  11. 11.
    A. A. Grib, S. G. Mamaev, and V. M. Mostenpanenko, Vacuum Quantum Effects in Strong Fields [in Russian], Energoatomizdat, Moscow (1988).Google Scholar
  12. 12.
    D. M. Gitman, E. S. Fradkin, and Sh. M. Shvartsman, Quantum Electrodynamics with an Unstable Vacuum [in Russian], Nauka, Moscow (1991).Google Scholar
  13. 13.
    I. L. Buchbinder, E. S. Frandkin, and D. M. Gitman, Fortsch. Phys.,29, 197–218 (1981)Google Scholar
  14. 14.
    S. P. Gavrilov, Izv. Vuzov. Fiz., No. 7, 79–83 (1992).Google Scholar
  15. 15.
    S. P. Gavrilov, Izv. Vuzov. Fiz., No. 10, 91–96 (1992).Google Scholar
  16. 16.
    S. P. Gavrilov, Izv. Vzov. Fiz., No. 3, 98–103 (1993).Google Scholar
  17. 17.
    S. P. Gavrilov and D. M. Gitman, Izv. Vuzov. Fiz., No. 5, 37–41 (1993).Google Scholar
  18. 18.
    S. P. Gavrilov, Izv. Vuz. Fiz., No. 12, 106–107 (1991).Google Scholar
  19. 19.
    S. P. Gavrilov, D. M. Gitman, and Sh. M. Shvartsman, Izv. Vuzov. Fiz., No. 3, 93–96 (1980).Google Scholar
  20. 20.
    E. S. Fradkin and D. M. Gitman, Preprint/MIT, Boston (1978), No. 3.Google Scholar
  21. 21.
    E. S. Fradkin and D. M. Gitman, Fortsch. Phys.,29, 381–411 (1981).Google Scholar
  22. 22.
    E. S. Abers and B. W. Lee, in: Quantum Theory of Gauge Fields [Russian translation], Mir, Moscow (1977), pp. 241–433.Google Scholar
  23. 23.
    M. B. Voloshin and K. A. Ter-Martirosyan, Theory of Gauge Interactions of Elementary Particles [in Russian], Énergoatomizdat, Moscow (1984).Google Scholar
  24. 24.
    S. P. Gavrilov and D. M. Gitman, Yadern. Fiz.,51, 1644–1654 (1990).Google Scholar
  25. 25.
    S. P. Gavrilov and D. M. Gitman, Preprint/MIT, Massachusetts (1991), CTP No. 1995.Google Scholar
  26. 26.
    A. V. Borisov, V. Ch. Zhukovskii, A. V. Kurilin, and A. I. Ternov, Yadern. Fiz.,41, 743–748 (1985).Google Scholar
  27. 27.
    I. A. Obukhov, V. K. Peres-Fernandes, and V. R. Khalilov, Yadern. Fiz.,43, 137–145 (1986).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • S. P. Gavrilov
  • D. M. Gitman
    • 1
  1. 1.University of Sao PauloBrazil

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