A class of nonlocal truncations in quantum Einstein gravity and its renormalization group behavior

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 12, 2002, Pages

  Saueressig, F ^b  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; GRAVITY; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; QUANTUM MECHANICS; SPACE; THEORY; TIME;

EID: 0037116076     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.125001     Document Type: Article

References (65)

1. For a review, see C. Bagnuls and C. Bervillier, Phys. Rep. 348, 91 (2001);
2. T.R. Morris, Prog. Theor. Phys. Suppl. 131, 395 (1998).
3. For a review, see J. Berges, N. Tetradis, and C. Wetterich, Phys. Rep. 363, 223 (2002);
4. C. Wetterich, Int. J. Mod. Phys. A 16, 1951 (2001).
5. M. Reuter, Phys. Rev. D 57, 971 (1998).
6. For a brief introduction, see M. Reuter, in Annual Report 2000 of the International School in Physics and Mathematics, Tbilisi, Georgia;
7. M. Reuterhep-th/0012069.
8. M. Reuter and F. Saueressig, Phys. Rev. D 65, 065016 (2002).
9. O. Lauscher and M. Reuter, Phys. Rev. D 65, 025013 (2002).
10. O. Lauscher and M. Reuter, Class. Quantum Grav. 19, 483 (2002).
11. O. Lauscher and M. Reuter, in Proceedings of the 5th Workshop on Quantum Field Theory under the Influence of External Conditions [Int. J. Mod. Phys. A 17, 993 (2002)].
12. O. Lauscher and M. Reuter, Phys. Rev. D 66, 025026 (2002).
13. J.W. York, J. Math. Phys. 14, 456 (1973).
14. W. Souma, Prog. Theor. Phys. 102, 181 (1999);
15. W. Soumagr-qc/0006008.
16. S. Weinberg, in General Relativity, An Einstein Centenary Survey, edited by S.W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979).
17. S. Perlmutter, Astrophys. J. 517, 565 (1999).
18. A. Riess, Astron. J. 117, 707 (1999).
19. For a review, see A. Riess, astro-ph/0005229.
20. P. de Bernardis, Nature (London) 404, 955 (2000);
21. A.E. Lange, Phys. Rev. D 63, 042001 (2001).
22. S. Hanany, Astrophys. J. Lett. 545, L5 (2002).
23. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989);
24. S. Weinberghep-th/9702027.
25. M. Reuter and C. Wetterich, Phys. Lett. B 188, 38 (1987).
26. N.C. Tsamis and R.P. Woodard, Phys. Lett. B 301, 351 (1993);
27. N.C. TsamisR.P. WoodardAnn. Phys. (N.Y.) 238, 1 (1995);
28. N.C. TsamisR.P. WoodardNucl. Phys. B474, 235 (1996).
29. I. Antoniadis and E. Mottola, Phys. Rev. D 45, 2013 (1992).
30. M. Reuter and C. Wetterich, Phys. Rev. D 56, 7893 (1997).
31. C. Wetterich, Gen. Relativ. Gravit. 30, 159 (1998).
32. O. Lauscher, M. Reuter, and C. Wetterich, Phys. Rev. D 62, 125021 (2000).
33. T. Taylor and G. Veneziano, Phys. Lett. B 228, 311 (1989);
34. T. TaylorG. VenezianoNucl. Phys. B345, 210 (1990).
35. S. Coleman, Nucl. Phys. B310, 643 (1988).
36. G. Veneziano, Mod. Phys. Lett. A 4, 695 (1989).
37. S.L. Adler, Phys. Rev. Lett. 62, 373 (1989).
38. A. Bonanno and M. Reuter, Phys. Lett. B 527, 9 (2002).
39. M. Reuter and C. Wetterich, Nucl. Phys. B506, 483 (1997);
40. Nucl. Phys.A. Chamseddine and M. Reuter, B317, 757 (1989).
41. A. Bonanno and M. Reuter, Phys. Rev. D 65, 043508 (2002).
42. A. Bonanno and M. Reuter, Phys. Rev. D 62, 043008 (2000);
43. Phys. Rev. DA. BonannoM. Reuter60, 084011 (1999).
44. R.S. Palais, Commun. Math. Phys. 69, 19 (1979).
45. M. Reuter and C. Wetterich, Nucl. Phys. B417, 181 (1994);
46. Nucl. Phys.M. ReuterC. WetterichB427, 291 (1994);
47. Nucl. Phys.M. ReuterC. WetterichB391, 147 (1993);
48. Nucl. Phys.M. ReuterC. WetterichB408, 91 (1993).
49. M. Reuter, Phys. Rev. D 53, 4430 (1996);
50. M. ReuterMod. Phys. Lett. A 12, 2777 (1997);
51. S. Falkenberg and B. Geyer, Phys. Rev. D 58, 085004 (1998).
52. D. Dou and R. Percacci, Class. Quantum Grav. 15, 3449 (1998).
53. L. Granda and S. Odintsov, Gravitation Cosmol. 4, 85 (1998);
54. L. GrandaS. OdintsovPhys. Lett. B 409, 206 (1997);
55. L. Granda, Europhys. Lett. 42, 487 (1998);
56. A. Bytsenko, L. Granda, and S. Odintsov, JETP Lett. 65, 600 (1997);
57. S. Falkenberg and S. Odintsov, Int. J. Mod. Phys. A 13, 607 (1998).
58. L.F. Abbott, Nucl. Phys. B185, 189 (1981);
59. F. Freire, D.F. Litim, and J.M. Pawlowski, Phys. Lett. B 495, 256 (2000);
60. D.F. Litim and J.M. Pawlowski, J. High Energy Phys. 09, 049 (2002).
61. S.L. Adler, Rev. Mod. Phys. 54, 729 (1982).
62. For a comparison and optimization of shape functions, see D.F. Litim, Phys. Lett. B 486, 92 (2000);
63. D.F. LitimPhys. Rev. D 64,105007 (2001).
64. J. Ambjørn, B. Durhuus, and T. Jonsson, Quantum Geometry—A Statistical Field Theory Approach (Cambridge University Press, Cambridge, England, 1997), and references therein.
65. J. Ambjørn, gr-qc/0201028.