Canonical path integral quantization of Einstein's gravitational field

General Relativity and Gravitation

Volumn 34, Issue 7, 2002, Pages 1059-1065

  Muslih, S I ^a  

^a AL AZHAR UNIVERSITY   (Palestine)

Author keywords

Einstein's equation; Path integral; Quantization

Indexed keywords

EID: 0012186829     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016561904569     Document Type: Article

References (22)

1. Dirac, P. A. M. (1964). Lectures on Quantum Mechanics, Belfer Graduate School of Science, Yehiva University, Academic Press, New York.
2. Dirac, P. A. M. (1950). Can. J. Math. 2, 129.
3. Bergmann, B. (1949). Phys. Rev. 75, 680.
4. Hanson, A. Regge, T., and Teitelboim, C. (1976). Constrained Hamiltonian Systems, Accademia Nazionole dei Lincei, Rome.
5. Misner, C. Thorne, K., and Wheeler, J. A. (1970). Gravitation, Freeman, San Francisco.
6. Gitman, D. M., and Tyutin, I. (1990). Quantization of Fields with Constraints Springer-Verlag, Berlin, Heidelberg.
7. Hartle, J. B., and Kuchar, K. V. (1984). Phys. Rev. D 34, 2323.
8. Faddeev, L. D., and Popov, V. N. (1947). Sov. Phys. Usp. 16, 777.
9. Fradkin, E. S., and Vilkovisky, G. A. (1973). Phys. Rev. D 8, 4241.
10. Fradkin, E. S., and Vilkovisky, G. A. (1975). Lett. Nuovo Cimento 13, 187.
11. Fradkin, E. S., and Vilkovisky, G. A. (1977). Quantization of Relativistic System will Constraints in Quantum Theory of Gravitational Field, CERN preprints.
12. Faddeev, L. D., and Popov, V. M. (1967). Phys. Lett. B 24, 29.
13. Faddeev, L. D. (1970). Theor. Math. Phys. 1, 1.
14. Muslih, S. I. (2000). Nuovo Cimento B 115, 1.
15. Muslih, S. I. (2000). Nuovo Cimento B 115, 7.
16. Muslih, S. I. (2000). Hadronic Journal. 23, 203.
17. Muslih, S. I. "Path integral quantization of Yang- Mills theory" math-ph/0011022.
18. Muslih, S. I., El-Zalaan, H., and El-Sabaa, F. (2000). Int. J. Theor. Phys. 39, 2495.
19. Muslih, S. I., and Guler, Y. (1995), (1998). Nuovo Cimento B 110, 307; 113, 277.
20. Guler, Y. (1992). Nuovo Cimento B 107, 1389.
21. Guler, Y. (1992). Nuovo Cimento B 107, 1143.
22. Rabi, E., and Guler, Y. (1992). Phys. Rev. A 46, 3513.