Renormalizable 4D quantum gravity as a perturbed theory from CFT

Foundations of Physics

Volumn 39, Issue 12, 2009, Pages 1356-1393

  Hamada, Ken ji ^a,b  

^a INSTITUTE OF PARTICLE AND NUCLEAR STUDIES   (Japan)

^b GRADUATE UNIVERSITY FOR ADVANCED STUDIES   (Japan)

Author keywords

Conformal anomaly; Conformal field theory; Effective action; Quantum gravity; Renormalization

Indexed keywords

EID: 76349123822     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10701-009-9358-x     Document Type: Article

References (54)

1. DeWitt, B.: In: DeWitt, B., DeWitt, C. (eds.) Relativity, Groups and Topology. Gordon & Breach, New York (1964).
2. DeWitt, B.: Phys. Rev. 160, 1113 (1967).
3. DeWitt, B.: Phys. Rev. 162, 1195 (1967) 1239.
4. 't Hooft, G., Veltman, M.: Ann. Inst. Henri Poincare XX, 69 (1974).
5. Veltman, M.: Methods in Field Theory. Les Houches. North-Holland, Amsterdam (1976).
6. Weinberg, S.: In: Hawking, S., Israel, W. (eds.) General Relativity, an Einstein Centenary Survey. Cambridge University Press, Cambridge (1979).
7. Utiyama, R., DeWitt, B.: J. Math. Phys. 3, 608 (1962).
8. Deser, S.: In: Arnowitt, R., Nath, P. (eds.) Proceedings of the Conference on Gauge Theories and Modern Field Theories. MIT Press, Cambridge (1975).
9. Weinberg, S.: In: Smith, J. R. (ed.) Proceedings of the XVIIth International Conference on High Energy Physics. Rutherford Laboratory, Chilton, Didcot (1974).
10. Stelle, K.: Phys. Rev. D 16, 953 (1977).
11. Stelle, K.: Gen. Relativ. Gravit. 9, 353 (1978).
12. Julve, J., Tonin, M.: Nuovo Cimento B 46, 137 (1978).
13. Tomboulis, E.: Phys. Lett. B 70, 361 (1977).
14. Tomboulis, E.: Phys. Lett. B 97, 77 (1980).
15. Fradkin, E., Tseytlin, A.: Nucl. Phys. B 201, 469 (1982).
16. Fradkin, E., Tseytlin, A.: Phys. Rep. 119, 233 (1985).
17. Hamada, K.: Prog. Theor. Phys. 108, 399 (2002).
18. 3 from Quantized Gravity. arXiv: 0811. 1647[hep-th].
19. Hamada, K., Horata, S., Yukawa, T.: In: Focus on Quantum Gravity Research. Nova Publ., New York (2006), Chap. 1.
20. Wess, J., Zumino, B.: Phys. Lett. B 37, 95 (1971).
21. Capper, D., Duff, M.: Nuovo Cimento A 23, 173 (1974).
22. Deser, S., Duff, M., Isham, C.: Nucl. Phys. B 111, 45 (1976).
23. Duff, M.: Nucl. Phys. B 125, 334 (1977).
24. Duff, M.: Class. Quantum Gravity 11, 1387 (1994).
25. Polyakov, A.: Phys. Lett. B 103, 207 (1981).
26. Polyakov, A.: Mod. Phys. Lett. A 2, 893 (1987).
27. Knizhnik, V., Polyakov, A., Zamolodchikov, A.: Mod. Phys. Lett. A 3, 819 (1988).
28. Distler, J., Kawai, H.: Nucl. Phys. B 321, 509 (1989).
29. David, F.: Mod. Phys. Lett. A 3, 1651 (1988).
30. Seiberg, N.: Prog. Theor. Phys. Suppl. 102, 319 (1990).
31. Riegert, R.: Phys. Lett. B 134, 56 (1984).
32. Antoniadis, I., Mottola, E.: Phys. Rev. D 45, 2013 (1992).
33. Antoniadis, I., Mazur, P., Mottola, E.: Nucl. Phys. B 388, 627 (1992).
34. Antoniadis, I., Mazur, P., Mottola, E.: Phys. Rev. D 55, 4756 (1997).
35. Antoniadis, I., Mazur, P., Mottola, E.: Phys. Rev. D 55, 4770 (1997).
36. Hamada, K., Sugino, F.: Nucl. Phys. B 553, 283 (1999).
37. Hamada, K., Horata, S.: Prog. Theor. Phys. 110, 1169 (2003).
38. Hamada, K.: Int. J. Mod. Phys. A 20, 5353 (2005).
39. 't Hooft, G., Veltman, M.: Nucl. Phys. B 44, 189 (1972).
40. Bonora, L., Cotta-Ramusino, P., Reina, C.: Phys. Lett. B 126, 305 (1983).
41. Hathrell, S.: Ann. Phys. 142, 34 (1982).
42. Hathrell, S.: Ann. Phys. 139, 136 (1982).
43. Freeman, M.: Ann. Phys. 153, 339 (1984).
44. Hamada, K., Yukawa, T.: Mod. Phys. Lett. A 20, 509 (2005).
45. Hamada, K., Horata, S., Yukawa, T.: Phys. Rev. D 74, 123502 (2006).
46. Hamada, K., Horata, S., Sugiyama, N., Yukawa, T.: Prog. Theor. Phys. 119, 253 (2008).
47. Hamada, K., Minamizaki, A., Sugamoto, A.: Mod. Phys. Lett. A 23, 237 (2008).
48. Kugo, T., Ojima, I.: Prog. Theor. Phys. Suppl. 66, 1 (1979).
49. Drummond, I., Hathrell, S.: Phys. Rev. D 21, 958 (1980).
50. Gell-Mann, M., Low, F.: Phys. Rev. 95, 1300 (1954).
51. Symanzik, K.: Commun. Math. Phys. 18, 227 (1970).
52. Callan, C. Jr.: Phys. Rev. D 2, 1541 (1970).
53. 't Hooft, G.: Nucl. Phys. B 61, 455 (1973).
54. Weinberg, S.: Phys. Rev. D 8, 3497 (1973).