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QFT Treatment of Processes in Strong External Backgrounds

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Russian Physics Journal Aims and scope

We describe external electromagnetic fields for which a consistent QED nonperturbative with respect to these fields can be formulated. We point out difficulties with such a formulation in the case of the external Coulomb field.

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References

  1. D. M. Gitman, J. Phys., A10, 2007 (1977).

    ADS  Google Scholar 

  2. E. S. Fradkin, D. M. Gitman, and S. M. Shvartsman, Quantum Electrodynamics with Unstable Vacuum, Springer-Verlag, Berlin (1991).

    Book  Google Scholar 

  3. S. P. Gavrilov and D. M. Gitman, Phys. Rev., D53, 7162 (1996).

    ADS  Google Scholar 

  4. S. P. Gavrilov and D. M. Gitman, Phys. Rev., D78, 045017 (2008).

    ADS  Google Scholar 

  5. S. P. Gavrilov and D. M. Gitman, Phys. Rev. Lett., 101, 130403 (2008).

    Article  ADS  Google Scholar 

  6. S. P. Gavrilov and D. M. Gitman, Phys. Rev., D93, 045002 (2016).

    ADS  Google Scholar 

  7. P. A. M. Dirac, Proc. Roy. Soc. Lond., A117, 610 (1928); Ibid., 118, 351 (1928).

  8. C. G. Darwin, Proc. Roy. Soc. Lond., A118, 654 (1928).

    Article  ADS  Google Scholar 

  9. W. Gordon, Z. Phys., 48, 11 (1928).

    Article  ADS  Google Scholar 

  10. M. E. Rose, Relativistic Electron Theory, Wiley, New York (1961).

    MATH  Google Scholar 

  11. A. I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics, Interscience Publishers, New York (1965).

    Google Scholar 

  12. W. Greiner, B. Müller, and J. Rafelski, Quantum Electrodynamics of Strong Fields, Springer-Verlag, Berlin (1985).

    Book  Google Scholar 

  13. S. S. Gershtein and Ya. B. Zel’dovich, Sov. Phys. JETP, 30, 358 (1970).

  14. Ya. B. Zel’dovich and V. S. Popov, Sov. Phys. Usp., 14, 673 (1972).

  15. V. S. Popov, Sov. Nucl. Phys., 12, 429 (1970); Ibid., 14, 458 (1971); Soviet Phys. JETP, 60, 1228 (1971).

  16. B. L. Voronov, D. M. Gitman, and I. V. Tyutin, Theor. Math. Phys., 150, 34 (2007).

    Article  Google Scholar 

  17. D. M. Gitman, I. V.Tyutin, and B. L. Voronov, Self-Adjoint Extensions in Quantum Mechanics. General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials, Birkhäuser, Boston (2012).

  18. D. M. Gitman, A. D. Levin, I. V. Tyutin, and B. L. Voronov, Phys. Scr., 87, 038104 (2013).

    Article  ADS  Google Scholar 

  19. D. M. Gitman, B. Voronov, R. Fereira, and A. Levin, Theor. Math. Phys., 187, 633 (2016).

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    D. M. Gitman & S. P. Gavrilov

  2. P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia

    D. M. Gitman

  3. Instituto de Fisica, Universidade de São Paulo, São Paulo, Brazil

    D. M. Gitman

  4. A. I. Herzen Russian State Pedagogical University, Saint Petersburg, Russia

    S. P. Gavrilov

Authors
  1. D. M. Gitman
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  2. S. P. Gavrilov
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Corresponding author

Correspondence to D. M. Gitman.

Additional information

Translated from Ivvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 5–10, November, 2016.

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Gitman, D.M., Gavrilov, S.P. QFT Treatment of Processes in Strong External Backgrounds. Russ Phys J 59, 1723–1730 (2017). https://doi.org/10.1007/s11182-017-0969-y

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  • DOI: https://doi.org/10.1007/s11182-017-0969-y

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