Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Neutrino production in a mixed-world cosmological model

  • 10 Accesses

Abstract

Quantum-mechanical effects of a massless spinor field in an anisotropic metric of Bianchi type IX are analyzed. It is concluded from an analysis of the operator representing the second-quantized Hamiltonian of the field and the helicity operator that a pronounced initial anisotropy causes a change in the structure of the vacuum state of the spinor field, with the result that this state acquires a nonzero lepton charge. An analogy with a known situation in supercritical electric fields is pointed out.

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

Literature cited

  1. 1.

    C. W. Misner, K. S. Thome, and J. A. Wheeler, Gravitation, Freeman, San Francisco (1973).

  2. 2.

    Ya. B. Zel'dovich and V. S. Popov, Usp. Fiz. Nauk, 403 (1971).

  3. 3.

    A. A. Grib, S. G. Mamaev, and V. M. Mostepanenko, Quantum-Mechanical Effects in Intense External Fields [in Russian], Atomizdat, Moscow (1980).

  4. 4.

    N. Hitchin, Adv. Math.,14, 1 (1974).

  5. 5.

    G. W. Gibbons, Phys. Lett.,84B, 431 (1979).

  6. 6.

    G. W. Gibbons, Ann. Phys.,125, 98 (1980).

  7. 7.

    S. A. Pritomanov, in: Research in Classical and Quantum Theories of Gravitation [in Russian], DGU (1983), p. 134.

  8. 8.

    A. A. Grib and S. A. Pritomanov, in: Research in Classical and Quantum Theories of Gravitation [in Russian], DGU (1983), p. 128.

  9. 9.

    N. Ya. Vilenkin, Special Functions and Group Representation Theory [in Russian], Nauka, Moscow (1965).

  10. 10.

    S. A. Pritomanov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 1, 35 (1984).

  11. 11.

    R. M. Wald, Ann. Phys.,118, 490 (1979).

Download references

Author information

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 50–54, January, 1985.

I wish to thank A. A. Grib and A. V. Nesteruk for useful discussions.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Pritomanov, S.A. Neutrino production in a mixed-world cosmological model. Soviet Physics Journal 28, 43–47 (1985). https://doi.org/10.1007/BF00896050

Download citation

Keywords

  • Anisotropy
  • Vacuum State
  • Cosmological Model
  • Lepton Charge
  • Bianchi Type