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Quantum field theory of the Universe in the Kantowski-Sachs space-time

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Il Nuovo Cimento B (1971-1996)

Summary

In this paper, the quantum field theory of the Universe in the Kantowski-Sachs space-time is studied. We apply an analogue of proceeding in quantum field theory in curved space-time to the Kantowski-Sachs space-time, and obtain the wave function of the Universe satisfied the Wheeler-De Witt equation. Regarding the wave function as a universe field in the minisuperspace, we can not only overcome the difficulty of the probabilistic interpretation in quantum cosmology, but also come to the conclusion that there is multiple production of universes. The average number of the produced universes from «nothing» is calculated. The distribution of created universes is given. We find that it is the Planckian distribution.

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References

  1. Hartle J. B. andHawking S. W.,Phys. Rev. D,28 (1983) 2960.

    Article  MathSciNet  ADS  Google Scholar 

  2. Vilenkin A.,Phys. Lett. B,117 (1982) 28.

    Article  ADS  Google Scholar 

  3. Vilenkin A.,Phys. Rev. D,37 (1988) 888.

    Article  MathSciNet  ADS  Google Scholar 

  4. Halliwell, J. J., preprint, NSF-ITP-88-131.

  5. Coleman S.,Nucl. Phys. B,307 (1988) 864.

    Article  ADS  Google Scholar 

  6. Klebanov I., Susskind L. andBanks T.,Nucl. Phys. B,317 (1989) 665.

    Article  MathSciNet  ADS  Google Scholar 

  7. Giddings S. B. andStrominger A.,Nucl. Phys. B,321 (1989) 481.

    Article  MathSciNet  ADS  Google Scholar 

  8. Hosoya A. andMorikawa M.,Phys. Rev. D,39 (1989) 1123.

    Article  ADS  Google Scholar 

  9. Banks T.,Nucl. Phys. B,309 (1988) 493.

    Article  ADS  Google Scholar 

  10. Duncan M. J., preprint, UMN-TH-916/90.

  11. Fischler W. et al., Nucl. Phys. B.,327 (1989) 157.

    Article  MathSciNet  ADS  Google Scholar 

  12. Peley Y.,Class. Quantum Grav.,8 (1991) 827.

    Article  ADS  Google Scholar 

  13. Gerlach U. H.,Phys. Rev. D.,38 (1988) 514.

    Article  MathSciNet  ADS  Google Scholar 

  14. Gerlach U. H.,Phys. Rev. D.,40 (1989) 1037.

    Article  MathSciNet  ADS  Google Scholar 

  15. Garay L. J.,Phys. Rev. D,48 (1993) 1710.

    Article  MathSciNet  ADS  Google Scholar 

  16. Shen Y. G., Cheng Z. G. andDing H. G.,Chin. Phys. Lett.,11 (1994) 193.

    Article  ADS  Google Scholar 

  17. Kantowski R. andSachs R. K.,J. Math. Phys.,7 (1966) 443.

    Article  MathSciNet  ADS  Google Scholar 

  18. Leflemme R. andShellard E. P. S.,Phys. Rev. D,35 (1987) 2315.

    Article  MathSciNet  ADS  Google Scholar 

  19. Campbell L. M. andGaray L. J.,Phys. Lett. B,254 (1991) 49.

    Article  MathSciNet  ADS  Google Scholar 

Download references

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Author notes

  1. You-Gen Shen

    Present address: Shanghai Observatory, Academia Sinica, 200030, Shanghai, PRC

  2. Zhen-Qiang Tan

    Present address: Department of Physics, Guangxi University, 530004, Nanning, Guangxi, PRC

Authors and Affiliations

  1. CCAST (World Laboratory), P.O. Box 8730, 100080, Beijing, PRC

    You-Gen Shen & Zhen-Qiang Tan

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  1. You-Gen Shen
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  2. Zhen-Qiang Tan
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Shen, YG., Tan, ZQ. Quantum field theory of the Universe in the Kantowski-Sachs space-time. Nuov Cim B 111, 327–330 (1996). https://doi.org/10.1007/BF02724654

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  • DOI: https://doi.org/10.1007/BF02724654

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