Quantum gravity, gauge coupling constants, and the cosmological constant

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 80, Issue 6, 2009, Pages

  Toms, David J ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70349857769     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.80.064040     Document Type: Article

References (68)

1. G. 't Hooft and M. Veltman, Ann. Inst. Henri Poincaré A AHPAAO 0020-2339 20, 69 (1974).
2. S. Deser and P. van Nieuwenhuizen, Phys. Rev. Lett. 32, 245 (1974). PRLTAO 0031-9007 10.1103/PhysRevLett.32.245
3. S. Deser and P. van Nieuwenhuizen, Phys. Rev. D PRVDAQ 0556-2821 10, 401 (1974). 10.1103/PhysRevD.10.401
4. S. Deser and P. van Nieuwenhuizen, Phys. Rev. D PRVDAQ 0556-2821 10, 411 (1974). 10.1103/PhysRevD.10.411
5. S. Deser, H. Tsao, and P. van Nieuwenhuizen, Phys. Rev. D PRVDAQ 0556-2821 10, 3337 (1974). 10.1103/PhysRevD.10.3337
6. J.F. Donoghue, Phys. Rev. Lett. 72, 2996 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.2996
7. J.F. Donoghue, Phys. Rev. D PRVDAQ 0556-2821 50, 3874 (1994). 10.1103/PhysRevD.50.3874
8. C.P. Burgess, Living Rev. Relativity 7, 5 (2004), http://www. livingreviews.org/lrr-2004-5. 1433-8351
9. S.P. Robinson and F. Wilczek, Phys. Rev. Lett. 96, 231601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.231601
10. I. Gogoladze and C.N. Cheung, Phys. Lett. B 645, 451 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2006.11.063
11. Q. Huang, J. High Energy Phys. JHEPFG 1029-8479 03 (2007) 053. 10.1088/1126-6708/2007/03/053
12. N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, J. High Energy Phys. JHEPFG 1029-8479 06 (2007) 060; 10.1088/1126-6708/2007/06/060
13. T. Banks, M. Johnson, and A. Shomer, J. High Energy Phys. JHEPFG 1029-8479 09 (2006) 049. 10.1088/1126-6708/2006/09/049
14. T. Banks, M. Johnson, and A. Shomer, J. High Energy Phys. JHEPFG 1029-8479 09 (2006) 049. 10.1088/1126-6708/2006/09/049
15. A.R. Pietrykowski, Phys. Rev. Lett. 98, 061801 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.061801
16. D.J. Toms, Phys. Rev. D PRVDAQ 1550-7998 76, 045015 (2007). 10.1103/PhysRevD.76.045015
17. G. 't Hooft and M. Veltman, Nucl. Phys. NUPBBO 0550-3213 B44, 189 (1972). 10.1016/0550-3213(72)90279-9
18. D. Ebert, J. Plefka, and A. Rodigast, Phys. Lett. B 660, 579 (2008). PYLBAJ 0370-2693 10.1016/j.physletb.2008.01.037
19. J.C. Taylor, Nucl. Phys. NUPBBO 0550-3213 B33, 436 (1971). 10.1016/0550-3213(71)90297-5
20. A.A. Slavnov, Theor. Math. Phys. 10, 99 (1972). TMPHAH 0040-5779 10.1007/BF01090719
21. J.C. Ward, Phys. Rev. 78, 182 (1950). PHRVAO 0031-899X 10.1103/PhysRev.78.182
22. Y. Takahashi, Nuovo Cimento 6, 370 (1957). NUCIAD 0029-6341
23. Y. Tang and Y. Wu, arXiv:0807.0331v2.
24. A. Rodigast and T. Schuster, arXiv:0908.2422v1.
25. O. Zanusso, L. Zambelli, G.P. Vacca, and R. Percacci, arXiv:0904.0938.
26. D. Ebert, J. Plefka, and A. Rodigast, J. High Energy Phys. JHEPFG 1029-8479 02 (2009) 028. 10.1088/1126-6708/2009/02/028
27. T.D. Lee and G.C. Wick, Nucl. Phys. NUPBBO 0550-3213 B9, 209 (1969). 10.1016/0550-3213(69)90098-4
28. T.D. Lee and G.C. Wick, Phys. Rev. D PRVDAQ 0556-2821 2, 1033 (1970). 10.1103/PhysRevD.2.1033
29. F. Wu and M. Zhong, Phys. Lett. B 659, 694 (2008). PYLBAJ 0370-2693 10.1016/j.physletb.2007.11.082
30. F. Wu and M. Zhong, Phys. Rev. D PRVDAQ 1550-7998 78, 085010 (2008). 10.1103/PhysRevD.78.085010
31. A. Rodigast and T. Schuster, Phys. Rev. D PRVDAQ 1550-7998 79, 125017 (2009). 10.1103/PhysRevD.79.125017
32. E. Kiritsis and C. Kounnas, Nucl. Phys. NUPBBO 0550-3213 B442, 472 (1995). 10.1016/0550-3213(95)00156-M
33. D.J. Toms, Phys. Rev. Lett. 101, 131301 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.131301
34. G.A. Vilkovisky, Nucl. Phys. NUPBBO 0550-3213 B234, 125 (1984). 10.1016/0550-3213(84)90228-1
35. G.A. Vilkovisky, in The Quantum Theory of Gravity, edited by, S.M. Christensen, (Adam Hilger, Bristol, 1984).
36. B.S. DeWitt, in Quantum Field Theory and Quantum Statistics, edited by, I.A. Batalin, C.J. Isham, and, G.A. Vilkovisky, (Adam Hilger, Bristol, 1987), Vol. 1.
37. B.S. DeWitt, The Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).
38. J. Honerkamp, Nucl. Phys. NUPBBO 0550-3213 B48, 269 (1972). 10.1016/0550-3213(72)90063-6
39. G. 't Hooft, Acta Univ. Wratislav. AWMFAR 0084-2966 38, 345 (1975).
40. B.S. DeWitt, in Quantum Gravity II, edited by, C.J. Isham, R. Penrose, and, D.W. Sciama, (Oxford University Press, London, 1981).
41. D.G. Boulware, Phys. Rev. D PRVDAQ 0556-2821 23, 389 (1981). 10.1103/PhysRevD.23.389
42. L. Abbott, Nucl. Phys. NUPBBO 0550-3213 B185, 189 (1981). 10.1016/0550-3213(81)90371-0
43. L.D. Faddeev and V.N. Popov, Phys. Lett. 25B, 29 (1967). PYLBAJ 0370-2693 10.1016/0370-2693(67)90067-6
44. L. Dolan and R. Jackiw, Phys. Rev. D PRVDAQ 0556-2821 9, 2904 (1974). 10.1103/PhysRevD.9.2904
45. L. Dolan and R. Jackiw, Phys. Rev. D PRVDAQ 0556-2821 9, 3320 (1974). 10.1103/PhysRevD.9.3320
46. S. Coleman and E. Weinberg, Phys. Rev. D PRVDAQ 0556-2821 7, 1888 (1973). 10.1103/PhysRevD.7.1888
47. N.K. Nielsen, Nucl. Phys. NUPBBO 0550-3213 B101, 173 (1975). 10.1016/0550-3213(75)90301-6
48. L. Parker and D.J. Toms, Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity (Cambridge University Press, Cambridge, England, 2009).
49. B.S. DeWitt, Phys. Rev. 160, 1113 (1967). PHRVAO 0031-899X 10.1103/PhysRev.160.1113
50. P. Ellicott, G. Kunstatter, and D.J. Toms, Mod. Phys. Lett. A MPLAEQ 0217-7323 4, 2397 (1989). 10.1142/S0217732389002689
51. E.S. Fradkin and A.A. Tseytlin, Nucl. Phys. NUPBBO 0550-3213 B234, 509 (1984). 10.1016/0550-3213(84)90075-0
52. A.O. Barvinsky and G.A. Vilkovisky, Phys. Rep. PRPLCM 0370-1573 119, 1 (1985). 10.1016/0370-1573(85)90148-6
53. S.R. Huggins, G. Kunstatter, H.P. Leivo, and D.J. Toms, Nucl. Phys. NUPBBO 0550-3213 B301, 627 (1988). 10.1016/0550-3213(88)90280-5
54. A. Rebhan, Nucl. Phys. NUPBBO 0550-3213 B288, 832 (1987). 10.1016/0550-3213(87)90241-0
55. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (W.H. Freeman, San Francisco, 1973).
56. G. Kunstatter, in Proceedings of NATO Advanced Research Workshop on Super Field Theories, edited by, H.C. Lee, (Plenum, New York, 1987).
57. G. 't Hooft, Nucl. Phys. NUPBBO 0550-3213 B61, 455 (1973). 10.1016/0550-3213(73)90376-3
58. C.G. Callan, Phys. Rev. D PRVDAQ 0556-2821 2, 1541 (1970). 10.1103/PhysRevD.2.1541
59. K. Symanzik, Commun. Math. Phys. 18, 227 (1970). CMPHAY 0010-3616 10.1007/BF01649434
60. D.N. Spergel (WMAP Collaboration), Astrophys. J. Suppl. Ser. 170, 377 (2007). APJSA2 0067-0049 10.1086/513700
61. D. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973). PRLTAO 0031-9007 10.1103/PhysRevLett.30.1343
62. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973). PRLTAO 0031-9007 10.1103/PhysRevLett.30.1346
63. P.T. Mackay and D.J. Toms (unpublished).
64. R.P. Feynman, Phys. Rev. 76, 769 (1949). PHRVAO 0031-899X 10.1103/PhysRev.76.769
65. K. Peeters, Computeralgebra Rundbrief 41, 16 (2007).
66. K. Peeters, arXiv:hep-th/0701238v2.
67. K. Peeters, Comput. Phys. Commun. CPHCBZ 0010-4655 176, 550 (2007); 10.1016/j.cpc.2007.01.003
68. K. Peeters arXiv:cs/0608005.