Skip to main content
SpringerLink
Log in

Vacuum polarization in the model of dirac fermions with an anomalous magnetic moment that interact with a background axial-vector condensate and magnetic field

  • Theoretical and Mathematical Physics
  • Published:
Moscow University Physics Bulletin Aims and scope

Abstract

Vacuum polarization is considered in a model that takes the anomalous magnetic moment (AMM) of Dirac fermions in a uniform magnetic field in the presence of an additional axial-vector interaction into account. Corrections to the effective Lagrangian of the model that are quadratic with respect to the AMM and axial-vector interaction in different configurations of the given model parameters are calculated.

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. J. Schwinger, Proc. Natl. Acad. Sci. U. S. A. 40, 132 (1954).

    Article  ADS  Google Scholar 

  2. I. M. Ternov, V. R. Bagrov, O. F. Dorofeyev, et al., J. Phys. A: Math. Gen. 11, 739 (1978).

    Article  ADS  Google Scholar 

  3. W. Pauli, Rev. Mod. Phys. 13, 203 (1941).

    Article  ADS  Google Scholar 

  4. I. M. Ternov, V. Ch. Zhukovsky, and A. V. Borisov, Quantum Processes in a Strong External Field (Moscow, 1989) [in Russian].

    Google Scholar 

  5. F. Ahmadi, S. Jalalzadeh, and H. R. Sepangi, Classical Quantum Gravity 23, 4069 (2006).

    Article  MathSciNet  Google Scholar 

  6. O. Bertolami and C. Carvalho, Phys. Rev. D 74, 084020 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  7. V. A. Kostelecky and S. Samuel, Phys. Rev. D 39, 683 (1989).

    Article  ADS  Google Scholar 

  8. D. Colladay and V. A. Kostelecky, Phys. Rev. D 58, 116002 (1998).

    Article  ADS  Google Scholar 

  9. R. Jackiw and V. A. Kostelecky, Phys. Rev. Lett. 82, 3572 (1999).

    Article  ADS  Google Scholar 

  10. V. Ch. Zhukovsky, A. E. Lobanov, and E. M. Murchikova, Phys. Rev. D 73, 065016 (2006).

    Article  ADS  Google Scholar 

  11. A. E. Lobanov and E. M. Murchikova, Moscow Univ. Phys. Bull. 63, 91 (2008).

    Article  ADS  Google Scholar 

  12. D. Ebert, V. Ch. Zhukovsky, and A. S. Razumovsky, Phys. Rev. D 70, 025003 (2004).

    Article  ADS  Google Scholar 

  13. I. E. Frolov and V. Ch. Zhukovsky, J. Phys. A 40, 10625 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  14. M. Roberts and Y. V. Stadnik, Phys. Rev. D 90, 096005 (2014).

    Article  ADS  Google Scholar 

  15. E. R. Bezerra de Mello, J. High Energy Phys. 0406, 016 (2004).

    Article  ADS  Google Scholar 

  16. B. M. Roberts, Y. V. Stadnik, V. A. Dzuba, et al., arXiv:1409.2564v2.

  17. V. G. Kadyshevsky and V. N. Rodionov, Theor. Math. Phys. 136, 1346 (2003).

    Article  Google Scholar 

  18. D. M. Gitman and A. V. Saa, Classical Quantum Gravity 10, 1447 (1993).

    Article  ADS  MathSciNet  Google Scholar 

  19. O. G. Kharlanov and V. Ch. Zhukovsky, J. Math. Phys 48, 092302 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  20. I. L. Shapiro, Phys. Rep. 357, 113 (2002).

    Article  ADS  MathSciNet  Google Scholar 

  21. I. E. Florov, V. Ch. Zhukovsky, and K. G. Klimenko, Phys. Rev. D 82, 076002 (2010).

    Article  ADS  Google Scholar 

  22. Y. A. Sitenko and K. Y. Rulik, Eur. Phys. J. C 28, 405 (2003).

    Article  ADS  Google Scholar 

  23. A. F. Bubnov and V. Ch. Zhukovskii, Moscow Univ. Phys. Bull. 65, 105 (2010). doi 10.3103/S0027134910020062

    Article  ADS  Google Scholar 

  24. R. F. O’Connell, Phys. Rev. A 176, 1433 (1968).

    Article  Google Scholar 

  25. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008).

    Article  ADS  Google Scholar 

  26. I. M. Ternov, V. G. Bagrov, and V. Ch. Zhukovsky, Vestn. Mosk. Univ., Ser. Fiz. Astron., No. 1, 30 (1966).

    Google Scholar 

  27. V. N. Rodionov, J. Exp. Theor. Phys. 98, 395 (2004).

    Article  ADS  Google Scholar 

  28. V. A. Fock, Sov. Phys. 12, 404 (1937).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Moscow State University, Moscow, 119991, Russia

    A. F. Bubnov, N. V. Gubina & V. Ch. Zhukovsky

Authors
  1. A. F. Bubnov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. V. Gubina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. Ch. Zhukovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. F. Bubnov.

Additional information

Original Russian Text © A.F. Bubnov, N.V. Gubina, V.Ch. Zhukovsky, 2016, published in Vestnik Moskovskogo Universiteta. Fizika, 2016, No. 2, pp. 28–33.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bubnov, A.F., Gubina, N.V. & Zhukovsky, V.C. Vacuum polarization in the model of dirac fermions with an anomalous magnetic moment that interact with a background axial-vector condensate and magnetic field. Moscow Univ. Phys. 71, 168–173 (2016). https://doi.org/10.3103/S0027134916020041

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027134916020041

Keywords

Search

Navigation