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On the value of the cosmological constant in a gas of virtual wormholes

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Abstract

It is shown that due to vacuum polarization effects virtual wormholes form a finite (of Planckian order) value of the energy density of zero-point fluctuations. However, such a huge value is compensated by the contribution of virtual wormholes to the mean curvature, and the observed value of the cosmological constant should be close to zero. A non-vanishing value appears due to vacuum polarization in external classical fields.

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References

  1. A. G. Riess et al., Astron. J. 116, 1009 (1998); S. Perlmutter et al., Astrophys. J. 517, 565 (1999); C. B. Netterfield et al., Astrophys. J. 571, 604 (2002).

    Article  ADS  Google Scholar 

  2. J. Martin, arXiv: 1205.3365.

  3. S.W. Hawking, Nucl. Phys. B 114, 349 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  4. S. W. Hawking, Phys. Rev. D 37, 904 (1988); S. Coleman, Nucl. Phys. B 307, 867 (1988); Nucl. Phys. B 310, 643 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  5. S. W. Hawking and N. Turok, Phys. Lett. B 425, 25 (1998); Z. C. Wu, Phys. Lett. B 659, 891 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  6. T.-P. Cheng and L. F. Li, Gauge Theory of Elementary Particles (Clarendon Press, Oxford, 1984).

    Google Scholar 

  7. A. A. Kirillov and E. P. Savelova, MNRAS 412, 1710 (2011).

    Article  ADS  Google Scholar 

  8. A. A. Kirillov and E. P. Savelova, Phys. Lett. B 660, 93 (2008); Grav. Cosmol. 14, 256 (2008).

    Article  ADS  Google Scholar 

  9. V. A. Fock, Z. Phys. 98, 148 (1935).

    ADS  Google Scholar 

  10. A. A. Kirillov, Phys. Lett. B 550, 13 (2003); Phys. Lett. B 535, 22 (2002).

    MathSciNet  ADS  Google Scholar 

  11. A. A. Kirillov and D. Turaev, Phys. Lett. B 532 (2002); MNRAS, 371, L31 (2006); Phys. Lett. B 656, 1 (2007); A. A. Kirillov, Phys. Lett. B 632, 453 (2006).

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Kirillov, A.A., Savelova, E.P. On the value of the cosmological constant in a gas of virtual wormholes. Gravit. Cosmol. 19, 92–100 (2013). https://doi.org/10.1134/S0202289313020060

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  • DOI: https://doi.org/10.1134/S0202289313020060

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