Skip to main content
SpringerLink
Log in

Kinetic description of vacuum creation of massive vector bosons

  • Proceedings of the Conference “Physics of Fundamental Interactions” Dedicated to the 100th Anniversary of A. I. Alikhanov’s Birth, Section of Nuclear Physics, Division of Physical Sciences, Russian Academy of Sciences; Institute of Theoretical and Experimental Physics, Moscow, March 1–5, 2004
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

In the simple model of massive vector field in a flat spacetime, we derive the kinetic equation of non-Markovian type describing the vacuum pair creation under action of external fields of different nature. We use for this aim the nonperturbative methods of kinetic theory in combination with a new element when the transition of the instantaneous quasiparticle representation is realized within the oscillator (holomorphic) representation. We study in detail the process of vacuum creation of vector bosons generated by a time-dependent boson mass in accordance with the framework of a conformal-invariant scalar-tensor gravitational theory and its cosmological application. It is indicated that the choice of the equation of state allows one to obtain a number density of vector bosons that is sufficient to explain the observed number density of photons in the cosmic microwave background radiation.

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. A. I. Nikishov, Zh. Éksp. Teor. Fiz. 120, 227 (2001) [JETP 93, 197 (2001)].

    Google Scholar 

  2. A. A. Grib, S. G. Mamaev, and V. M. Mostepanenko, Vacuum Quantum Effects in Strong External Fields (Energoatomizdat, Moscow, 1988; Friedmann Lab., St. Petersburg, 1994).

    Google Scholar 

  3. H.-P. Pavel and V. N. Pervushin, Int. J. Mod. Phys. A 14, 2285 (1999).

    ADS  MathSciNet  Google Scholar 

  4. V. M. Mostepanenko, V. M. Frolov, and V. A. Sheliuto, Yad. Fiz. 37, 1261 (1983) [Sov. J. Nucl. Phys. 37, 750 (1983)].

    Google Scholar 

  5. D. Blaschke, S. I. Vinitsky, A. A. Gusev, et al., Yad. Fiz. 67, 1074 (2004) [Phys. At. Nucl. 67, 1050 (2004)].

    Google Scholar 

  6. A. A. Grib and A. V. Nesteruk, Yad. Fiz. 35, 216 (1982) [Sov. J. Nucl. Phys. 35, 122 (1982)].

    MathSciNet  Google Scholar 

  7. S. I. Kruglov, Int. J. Theor. Phys. 40, 515 (2001).

    Article  MATH  Google Scholar 

  8. S. M. Schmidt, D. Blaschke, G. Röpke, et al., Int. J. Mod. Phys. E 7, 709 (1998).

    ADS  Google Scholar 

  9. V. N. Pervushin, V. V. Skokov, A. V. Reichel, et al., Int. J. Mod. Phys. A (in press); hep-ph/0307200.

  10. V. N. Pervushin, D. V. Proskurin, and A. A. Gusev, Grav. Cosmol. 8, 181 (2002).

    Google Scholar 

  11. S. A. Smolyansky, A. V. Reichel, D. V. Vinnik, and S. M. Schmidt, in Progress in Nonequilibrium Green’s Functions II, Ed. by M. Bonitz and D. Semkat (World Sci., Singapore, 2003), p. 384.

    Google Scholar 

  12. N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Nauka, Moscow, 1984; Wiley, New York, 1980).

    Google Scholar 

  13. S. Schmidt, D. Blaschke, G. Röpke, et al., Phys. Rev. D 59, 094005 (1999).

  14. D. V. Vinnik, V. A. Mizerny, A. V. Prozorkevich, et al., Yad. Fiz. 64, 836 (2001) [Phys. At. Nucl. 64, 775 (2001)].

    Google Scholar 

  15. Ya. B. Zeldovich and A. A. Starobinsky, Zh. Éksp. Teor. Fiz. 61, 2161 (1971) [Sov. Phys. JETP 34, 1159 (1971)]; S. G. Mamaev and N. N. Trunov, Yad. Fiz. 30, 1301 (1979) [Sov. J. Nucl. Phys. 30, 677 (1979)].

    Google Scholar 

  16. D. Blaschke and M. P. Dabrowski, hep-th/0407078.

  17. S. A. Smolyansky, A. V. Prozorkevich, D. V. Vinnik, and A. V. Reichel, in Proceedings of the International Workshop “Hot Point in Astrophysics”, Dubna, 2000, p. 364.

Download references

Author information

Authors and Affiliations

  1. Fachbereich Physik, Universit at Rostock, Germany

    D. B. Blaschke & A. V. Reichel

  2. Fakult at für Physik, Universität Bielefeld, Germany

    D. B. Blaschke

  3. Joint Institute for Nuclear Research, Dubna, Russia

    D. B. Blaschke

  4. Saratov State University, Saratov, Russia

    A. V. Prozorkevich & S. A. Smolyansky

Authors
  1. D. B. Blaschke
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Prozorkevich
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Reichel
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. A. Smolyansky
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

From Yadernaya Fizika, Vol. 68, No. 6, 2005, pp. 1087–1094.

Original English Text Copyright © 2005 by Blaschke, Prozorkevich, Reichel, Smolyansky.

This article was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blaschke, D.B., Prozorkevich, A.V., Reichel, A.V. et al. Kinetic description of vacuum creation of massive vector bosons. Phys. Atom. Nuclei 68, 1046–1053 (2005). https://doi.org/10.1134/1.1954833

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1954833

Keywords

Search

Navigation