Abstract
It is found that the induced gravity with conformal couplings requires the conformal invariance in both classical and quantum levels for consistency. This is also true for the induced gravity with an extended conformal coupling interacting with torsion.
Similar content being viewed by others
REFERENCES
Weinberg, S. (1979). Phys. Rev. Lett. 19, 1264.
Zee, A. (1979). Phys. Rev. Lett. 42, 417.
Smolin, L. (1979) Nucl. Phys. B160, 253.
Adler, S. L. (1982). Rev. Mod. Phys. 54, 729.
Accetta, F. S., Zoller, D. J., and Turner, M. (1985). Phys. Rev. D31, 3046.
Albrecht, A., and Steinhardt, P. J. (1982). Phys. Rev. Lett. 48, 1220.
Cervantes-Cota, J. L., and Dehnen, H. (1995). Phys. Rev. 51, 395; (1995). Nucl. Phys. B442, 391.
Kaiser, D. I. (1994). Phys. Rev. D49, 6347; (1994). “Induced-gravity Inflation and the Density Perturbation Spectrum.” Preprint: Report No. HUT P-94/ A011 (astroph/ 9405029).
Kim, J., Park, C. J., and Yoon, Y. (1995). Phys. Rev. D51, 562.
Nieh, H. T., and Yan, M. L. (1982). Ann. Phys. (NY) 138, 237.
Kim, J. K., and Yoon, Y. (1988). Phys. Lett. D14, 98.
Kim, J., Park, C. J., and Yoon, Y. (1995). Phys. Rev. D51, 4595.
Buchbinder, I. L., Odintsov, S. D., and Shapiro, I. L. (1992). Effective Action in Quantum Gravity (Institute of Physics, Bristol).
Buchbinder, I. L., and Odintsov, S. D. (1983). Izv. VUZ Fiz. (Sov. J. Phys.) N12, 108; (1984). Yad. Fiz. (Sov. J. Nucl. Phys.) 40, 1338; (1985). Lett. Nuovo Cimento 42, 379.
Yoon, Yungsoo, and Yoon, Yongsung (1996). “Asymptotic Conformal Invariance of SU(2) and Standard Models in Curved Space-time.” HYUPT Preprint.
Geyer, B., and Odintsov, S. D. (1996). Phys. Rev. D53, 7321.
Hayashi, K., Nomura, K., and Shirafuji, T. Prog. Theor. Phys. 84, 1085 (1990).
Hammond, R. T. (1990). J. Math. Phys. 31, 2221.
Rights and permissions
About this article
Cite this article
Park, C.J., Yoon, Y. Conformal Couplings in Induced Gravity. General Relativity and Gravitation 29, 765–772 (1997). https://doi.org/10.1023/A:1018838006753
Issue Date:
DOI: https://doi.org/10.1023/A:1018838006753