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Canonical quantization of D-dimensional R2 gravity

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Literature Cited

  1. I. L. Bukhbinder and S. L. Lyakhovich, Teor. Mat. Fiz.,72, 204 (1987).

    Google Scholar 

  2. I. L. Buchbinder and S. L. Lyakhovich, Class. Quant. Gravit.,4, 1487b (1987).

    Google Scholar 

  3. I. L. Bukhbinder and S. L. Lyakhovich, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 12, 3 (1985).

    Google Scholar 

  4. I. L. Bukhbinder and S. L. Lyakhovich, in: Group-Theoretical Methods in Physics. Proc. of Third Seminar, Vol. 1 [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  5. D. G. Boulware, in: Quantum Theory of Gravity (ed. S. M. Christensen), Adam Hilger Ltd., Bristol (1984), p. 264.

    Google Scholar 

  6. M. Kaku, Nucl. Phys. B,203, 285 (1982).

    Google Scholar 

  7. M. Kaku, Phys. Rev. D,27, 2809 (1983).

    Google Scholar 

  8. V. Szczyrba, J. Math. Phys.,28, 146 (1987).

    Google Scholar 

  9. E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B,201, 469 (1982).

    Google Scholar 

  10. E. Tomboulis, in: Quantum Theory of Gravity (ed. S. M. Christensen), Adam Hilger Ltd., Bristol (1984), p. 251.

    Google Scholar 

  11. I. Antoniadis and E. T. Tomboulis, Phys. Rev. D,33, 2756 (1986).

    Google Scholar 

  12. I. L. Buchbinder, O. K. Kalashnikov, I. L. Shapiro, V. R. Vologodsky, and Yu. Yu. Wolfengaut, “Asymptotic freedom in quantum gravity with matter,” Preprint No. 123, Lebedev Physical Institute, Moscow (1988); I. L. Bukhbinder, O. K. Kalashnikov, I. L. Shapiro, V. R. Vologodskii, and Yu. Yu. Vol'fengaut, Yad. Fiz.,49, 876 (1989).

    Google Scholar 

  13. D. M. Capper and D. F. Kimber, J. Phys. A,13, 3671 (1980).

    Google Scholar 

  14. M. G. Duff, B. E. W. Nilsson, and C. N. Pope, Phys. Rep.,130, 1 (1986).

    Google Scholar 

  15. D. Bailin and A. Love, Rep. Prog. Phys.,50, 1087 (1987).

    Google Scholar 

  16. I. L. Buchbinder and S. D. Odintsov, Fortschr. Phys.,37, 225 (1989).

    Google Scholar 

  17. C. Wetterich, Phys. Lett. B,110, 379 (1982).

    Google Scholar 

  18. D. Bailin and A. Love, Phys. Lett. B,156, 135.

  19. P. Candelas, G. T. Horowitz, A. Strominger, and E. Witten, Nucl. Phys. B,258, 46 (1985).

    Google Scholar 

  20. V. G. Bagrov, I. L. Bukhbinder, and S. D. Odintsov, Yad. Fiz.,45, 1192 (1987).

    Google Scholar 

  21. V. G. Bagrov, I. L. Buchbinder, and S. D. Odintsov, Phys. Lett. B,184, 202 (1987).

    Google Scholar 

  22. B. Zwiebach, Phys. Lett. B,156, 315 (1985).

    Google Scholar 

  23. R. I. Nepomechie, Phys. Rev. D,32, 3201 (1985).

    Google Scholar 

  24. D. M. Gitman, S. L. Lyakhovich, and I. V. Tyutin, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 8, 61 (1983).

    Google Scholar 

  25. I. L. Bukhbinder and S. L. Lyakhovich, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 9, 65 (1985).

    Google Scholar 

  26. R. Arnowitt, S. Deser, and C. W. Misner, “The dynamics of general relativity,” in: Gravitation: An Introduction to Current Research (ed. L. Witten), Wiley, New York (1962).

    Google Scholar 

  27. B. S. DeWitt, Phys. Rev.,162, 1195 (1967).

    Google Scholar 

  28. E. S. Fradkin, in: Problems of Theoretical Physics [Russian collection] Nauka, Moscow (1972), p. 146.

    Google Scholar 

  29. W. Garczynski, Rep. Math. Phys.,25, 73 (1987).

    Google Scholar 

  30. W. Garczynski, Phys. Lett. B,198, 367 (1987).

    Google Scholar 

  31. I. L. Bukhbinder, I. Yu. Karataeva, and S. L. Lyakhovich, Preprint No. 63 [in Russian], TNTs SO AN SSSR (1989).

  32. D. M. Gitman and I. V. Tyutin, Canonical Quantization of Fields with Constraints [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  33. M. D. Pollock, Nucl. Phys. B,315, 528 (1989).

    Google Scholar 

  34. M. D. Pollock, Nucl. Phys. B,324, 187 (1989).

    Google Scholar 

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Authors
  1. I. L. Bukhbinder
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  2. I. Yu. Karataeva
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  3. S. L. Lyakhovich
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Additional information

Tomsk State Pedagogical Institute. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 87, No. 1, pp. 141–153, April, 1991.

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Bukhbinder, I.L., Karataeva, I.Y. & Lyakhovich, S.L. Canonical quantization of D-dimensional R2 gravity. Theor Math Phys 87, 432–441 (1991). https://doi.org/10.1007/BF01016584

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  • DOI: https://doi.org/10.1007/BF01016584

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