Stochastic quantization and the role of time in quantum gravity

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 680, Issue 4, 2009, Pages 359-364

  Ambjorn J ^a,b   Loll, R ^b   Westra, W ^c   Zohren, S ^d,e  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b UTRECHT UNIVERSITY   (Netherlands)

^c UNIVERSITY OF ICELAND   (Iceland)

^d LEIDEN UNIVERSITY   (Netherlands)

^e UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70349266722     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physletb.2009.09.016     Document Type: Article

References (47)

1. Ambjørn J., Loll R., Nielsen J.L., and Rolf J. Chaos Solitons Fractals 10 (1999) 177. hep-th/9806241
2. Ambjørn J., Jurkiewicz J., and Loll R. Lorentzian and Euclidean quantum gravity: Analytical and numerical results. In: Thorlacius L., et al. (Ed). Proceedings of M-Theory and Quantum Geometry, 1999 NATO Advanced Study Institute, Akureyri, Island (2000), Kluwer 382-449. hep-th/0001124
3. Ambjørn J., Jurkiewicz J., and Loll R. Nucl. Phys. B 610 (2001) 347. arXiv:hep-th/0105267
4. Ambjørn J., Jurkiewicz J., and Loll R. Quantum gravity, or the art of building spacetime. In: Oriti D. (Ed). Approaches to Quantum Gravity (2009), Cambridge University Press 341-359. arXiv:hep-th/0604212
5. Ambjørn J., Loll R., Watabiki Y., Westra W., and Zohren S. JHEP 0805 (2008) 032. arXiv:0802.0719 [hep-th]
6. Ambjørn J., Loll R., Westra W., and Zohren S. JHEP 0712 (2007) 017. arXiv:0709.2784 [gr-qc]
7. Kawai H., Kawamoto N., Mogami T., and Watabiki Y. Phys. Lett. B 306 (1993) 19. hep-th/9302133
8. Ishibashi N., and Kawai H. Phys. Lett. B 314 (1993) 190. arXiv:hep-th/9307045
9. Ishibashi N., and Kawai H. Phys. Lett. B 322 (1994) 67. arXiv:hep-th/9312047
10. Ishibashi N., and Kawai H. Phys. Lett. B 352 (1995) 75. arXiv:hep-th/9503134
11. Ikehara M., Ishibashi N., Kawai H., Mogami T., Nakayama R., and Sasakura N. Phys. Rev. D 50 (1994) 7467. arXiv:hep-th/9406207
12. Watabiki Y. Nucl. Phys. B 441 (1995) 119. hep-th/9401096
13. Aoki H., Kawai H., Nishimura J., and Tsuchiya A. Nucl. Phys. B 474 (1996) 512. hep-th/9511117
14. Ambjørn J., and Watabiki Y. Int. J. Mod. Phys. A 12 (1997) 4257. arXiv:hep-th/9604067
15. Ikehara M., Ishibashi N., Kawai H., Mogami T., Nakayama R., and Sasakura N. Prog. Theor. Phys. Suppl. 118 (1995) 241. arXiv:hep-th/9409101
16. Jevicki A., and Rodrigues J.P. Nucl. Phys. B 421 (1994) 278. arXiv:hep-th/9312118
17. Ambjørn J., Görlich A., Jurkiewicz J., and Loll R. Phys. Rev. Lett. 100 (2008) 091304. arXiv:0712.2485 [hep-th]
18. Ambjørn J., Görlich A., Jurkiewicz J., and Loll R. Phys. Rev. D 78 (2008) 063544. arXiv:0807.4481 [hep-th]
19. Ambjørn J., Jurkiewicz J., and Loll R. Phys. Rev. D 72 (2005) 064014. hep-th/0505154
20. Ambjørn J., Jurkiewicz J., and Loll R. Phys. Rev. Lett. 95 (2005) 171301. hep-th/0505113
21. Ambjørn J., Jurkiewicz J., and Loll R. Phys. Lett. B 607 (2005) 205. hep-th/0411152
22. Ambjørn J., Jurkiewicz J., and Loll R. Phys. Rev. Lett. 93 (2004) 131301. hep-th/0404156
23. Codello A., Percacci R., and Rahmede C. Ann. Phys. 324 (2009) 414. arXiv:0805.2909 [hep-th]
24. Reuter M., and Saueressig F. Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity. arXiv:0708.1317 [hep-th]
25. Niedermaier M., and Reuter M. Living Rev. Rel. 9 (2006) 5
26. Hamber H.W., and Williams R.M. Phys. Rev. D 72 (2005) 044026. hep-th/0507017
27. Litim D.F. Phys. Rev. Lett. 92 (2004) 201301. hep-th/0312114
28. Kawai H., Kitazawa Y., and Ninomiya M. Nucl. Phys. B 467 (1996) 313. hep-th/9511217
29. Weinberg S. Living with infinities. arXiv:0903.0568 [hep-th]
30. Weinberg S. Effective field theory, past and future. arXiv:0908.1964 [hep-th]
31. Shaposhnikov M.E., and Tkachev I.I. Quantum scale invariance on the lattice. arXiv:0811.1967 [hep-th]
32. Shaposhnikov M., and Zenhäusern D. Phys. Lett. B 671 (2009) 162. arXiv:0809.3406 [hep-th]
33. Shaposhnikov M., and Zenhäusern D. Phys. Lett. B 671 (2009) 187. arXiv:0809.3395 [hep-th]
34. Hořava P. Spectral dimension of the universe in quantum gravity at a Lifshitz point. arXiv:0902.3657 [hep-th]
35. Hořava P. Phys. Rev. D 79 (2009) 084008. arXiv:0901.3775 [hep-th]
36. Lauscher O., and Reuter M. JHEP 0510 (2005) 050. arXiv:hep-th/0508202
37. Hořava P. JHEP 0903 (2009) 020. arXiv:0812.4287 [hep-th]
38. P. Hořava, private communication
39. Zinn-Justin J. Int. Ser. Monogr. Phys. 113 (2002) 1
40. Chaichian M., and Demichev A. Path Integrals in Physics, vol. II (2001), Institute of Physics Publishing, Bristol, UK
41. Ambjørn J., and Loll R. Nucl. Phys. B 536 (1998) 407. hep-th/9805108
42. S. Zohren, A causal perspective on random geometry, PhD thesis Imperial College London, arXiv:0905.0213 [hep-th]
43. Ambjørn J., Loll R., Westra W., and Zohren S. Phys. Lett. B 678 (2009) 227. arXiv:0905.2108 [hep-th]
44. Ambjørn J., and Kristjansen C.F. Int. J. Mod. Phys. A 8 (1993) 1259. arXiv:hep-th/9205073
45. Greensite J., and Halpern M.B. Nucl. Phys. B 242 (1984) 167
46. Ambjørn J., and Greensite J. Phys. Lett. B 254 (1991) 66
47. Ambjørn J., Greensite J., and Varsted S. Phys. Lett. B 249 (1990) 411