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Prog. Theor. Phys. Supplement No.110 (1992) pp. 159-178

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Gauge Dependence of Counter-Terms and Renormalizability Problem in Quantum Gravity

Shoichi Ichinose

Department of Physics, University of Shizuoka, Shizuoka 422

Abstract:

We reanalyze quantum Einstein gravity in a perturbative way. As an example, the (1-loop) renormalizability of the scalar-gravity interacting theory is reexamined. The importance of the gauge choice is stressed. We propose the most general background-field gauge for this theory and show that the renormalizability is valid if we choose the gauge parameters properly.


URL : http://ptp.ipap.jp/link?PTPS/110/159/
DOI : 10.1143/PTPS.110.159

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References:

  1. B. S. DeWitt, Phys. Rev. 162 (1967), 1195[APS]; ibid. 162 (1967), 1239[APS]; Quantum Gravity II, ed. C. Isham, R. Penrose and D. Sciama (Oxford Univ. Press, New York, 1981), p. 449.
  2. G, 'tHooft, Acta Universitatis Wratislavensis No. 368, XIIth Winter School of Theoretical Physics in Karpacz, 1975, Functional and Probabilistic Methods in Quantum Field Theory, vol. I (1976), p. 345.
  3. D. G. Boulware, Phys. Rev. D 23 (1981), 389[APS].
  4. I. Y. Aref'eva, A. A. Slavnov and L. D. Faddeev, Theor. Math. Fiz. 21 (1974), 311.
  5. R. Kallosh, Nucl. Phys. B 78 (1974), 293[CrossRef].
  6. L. F. Abbott, Nucl. Phys. B 185 (1981), 189[CrossRef].
  7. S. Ichinose and M. Omote, Nucl. Phys. B 203 (1982), 221[CrossRef].
  8. D. M. Capper and A. MacLean, Nucl. Phys. B 203 (1982), 413.
  9. G. 'tHooft and M. Veltman, Ann. Inst. Henri Poincaré 20 (1974), 69.
  10. S. Ichinose, KEK (Tsukuba) Preprint, KEK-TH-285/KEK Preprint 91-8 (1991); Proceedings of the Sixth Marcel Grossmann Meeting on General Relativity, Kyoto, Japan (1991).
  11. R. E. Kallosh, O. V. Tarasov and I. V. Tyutin, Nucl. Phys. B 137 (1978), 145.
  12. D. M. Capper and J. J. Dulwich, Nucl. Phys. B 221 (1983), 349.
  13. G. 'tHooft, Nucl. Phys. B 62 (1973), 444[CrossRef].