Models of non-relativistic quantum gravity: The good, the bad and the healthy

Journal of High Energy Physics

Volumn 2011, Issue 4, 2011, Pages

  Blas, D ^a   Pujolas O ^b,c   Sibiryakov, S ^a,d  

^a EPFL   (Switzerland)

^b CERN   (Switzerland)

^c UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^d INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

Models of quantum gravity; Renormalization group; Space time symmetries

Indexed keywords

EID: 79957956934     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2011)018     Document Type: Article

References (76)

1. P. Hořava, Quantum gravity at a Lifshitz point, Phys. Rev. D 79 (2009) 084008 [arXiv:0901.3775].
2. P. Hořava, Membranes at quantum criticality, JHEP 03 (2009) 020 [arXiv:0812.4287].
3. K.S. Stelle, Classical gravity with higher derivatives, Gen. Rel. Grav. 9 (1978) 353.
4. D. Colladay and V.A. Kostelecky, CPT violation and the standard model, Phys. Rev. D 55 (1997) 6760 [hep-ph/9703464].
5. D. Colladay and V.A. Kostelecky, Lorentz-violating extension of the standard model, Phys. Rev. D 58 (1998) 116002 [hep-ph/9809521].
6. S.R. Coleman and S.L. Glashow, High-energy tests of Lorentz invariance, Phys. Rev. D 59 (1999) 116008 [hep-ph/9812418].
7. D. Mattingly, Modern tests of Lorentz invariance, Living Rev. Rel. 8 (2005) 5 [gr-qc/0502097].
8. T. Jacobson, S. Liberati and D. Mattingly, Lorentz violation at high energy: concepts, phenomena and astrophysical constraints, Annals Phys. 321 (2006) 150 [astro-ph/0505267].
9. S. Liberati and L. Maccione, Lorentz violation: motivation and new constraints, Ann. Rev. Nucl. Part. Sci. 59 (2009) 245 [arXiv:0906.0681].
10. V.A. Kostelecky and N. Russell, Data tables for Lorentz and CPT violation, Rev. Mod. Phys. 83 (2011) 11 [arXiv:0801.0287].
11. P. Hořava and C.M. Melby-Thompson, General covariance in quantum gravity at a Lifshitz point, Phys. Rev. D 82 (2010) 064027 [arXiv:1007.2410].
12. T.P. Sotiriou, M. Visser and S. Weinfurtner, Quantum gravity without Lorentz invariance, JHEP 10 (2009) 033 [arXiv:0905.2798].
13. D. Blas, O. Pujolas and S. Sibiryakov, On the extra mode and inconsistency of Hořava gravity, JHEP 10 (2009) 029 [arXiv:0906.3046].
14. R. L'evi, Th'eorie de l'action universelle et discontinue, J. Phys. Radium 8 (1927) 182.
15. C. Deffayet, G.R. Dvali, G. Gabadadze and A.I. Vainshtein, Nonperturbative continuity in graviton mass versus perturbative discontinuity, Phys. Rev. D 65 (2002) 044026 [hep-th/0106001].
16. N. Arkani-Hamed, H. Georgi and M.D. Schwartz, Effective field theory for massive gravitons and gravity in theory space, Ann. Phys. 305 (2003) 96 [hep-th/0210184].
17. M.A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model, JHEP 09 (2003) 029 [hep-th/0303116].
18. A. Nicolis and R. Rattazzi, Classical and quantum consistency of the DGP model, JHEP 06 (2004) 059 [hep-th/0404159].
19. N. Arkani-Hamed, H.-C. Cheng, M.A. Luty and S. Mukohyama, Ghost condensation and a consistent infrared modification of gravity, JHEP 05 (2004) 074 [hep-th/0312099].
20. S.L. Dubovsky, Phases of massive gravity, JHEP 10 (2004) 076 [hep-th/0409124].
21. D. Blas, D. Comelli, F. Nesti and L. Pilo, Lorentz breaking massive gravity in curved space, Phys. Rev. D 80 (2009) 044025 [arXiv:0905.1699].
22. C. Charmousis, G. Niz, A. Padilla and P.M. Saffin, Strong coupling in Hořava gravity, JHEP 08 (2009) 070 [arXiv:0905.2579].
23. K. Koyama and F. Arroja, Pathological behaviour of the scalar graviton in Hořava-Lifshitz gravity, JHEP 03 (2010) 061 [arXiv:0910.1998].
24. M. Li and Y. Pang, A trouble with Hořava-Lifshitz gravity, JHEP 08 (2009) 015 [arXiv:0905.2751].
25. M. Henneaux, A. Kleinschmidt and G. Lucena Gomez, A dynamical inconsistency of Hořava gravity, Phys. Rev. D 81 (2010) 064002 [arXiv:0912.0399].
26. D. Blas, O. Pujolas and S. Sibiryakov, Consistent extension of Hořava gravity, Phys. Rev. Lett. 104 (2010) 181302 [arXiv:0909.3525].
27. D. Blas, O. Pujolas and S. Sibiryakov, Comment on 'Strong coupling in extended Hořava-Lifshitz gravity', Phys. Lett. B 688 (2010) 350 [arXiv:0912.0550].
28. C. Armendariz-Picon, T. Damour and V.F. Mukhanov, K-Inflation, Phys. Lett. B 458(1999) 209 [hep-th/9904075].
29. C. Cheung, P. Creminelli, A.L. Fitzpatrick, J. Kaplan and L. Senatore, The effective field theory of inflation, JHEP 03 (2008) 014 [arXiv:0709.0293].
30. S. Weinberg, Effective field theory for inflation, Phys. Rev. D 77 (2008) 123541 [arXiv:0804.4291].
31. T. Jacobson and D. Mattingly, Gravity with a dynamical preferred frame, Phys. Rev. D 64 (2001) 024028 [gr-qc/0007031].
32. T. Jacobson, Einstein-aether gravity: a status report, PoS(QG-PH)020 [arXiv:0801.1547].
33. H.-C. Cheng, M.A. Luty, S. Mukohyama and J. Thaler, Spontaneous Lorentz breaking at high energies, JHEP 05 (2006) 076 [hep-th/0603010].
34. V.A. Rubakov and P.G. Tinyakov, Infrared-modified gravities and massive gravitons, Phys. Usp. 51 (2008) 759 [arXiv:0802.4379].
35. T. Jacobson, Extended Hořava gravity and Einstein-aether theory, Phys. Rev. D 81 (2010) 101502 [arXiv:1001.4823].
36. A. Cerioni and R.H. Brandenberger, Cosmological perturbations in the projectable version of Hořava-Lifshitz gravity, arXiv:1007.1006.
37. S. Mukohyama, Caustic avoidance in Hořava-Lifshitz gravity, JCAP 09 (2009) 005 [arXiv:0906.5069].
38. K. Izumi and S. Mukohyama, Stellar center is dynamical in Hořava-Lifshitz gravity, Phys. Rev. D 81 (2010) 044008 [arXiv:0911.1814].
39. C.M. Will, The confrontation between general relativity and experiment, Living Rev. Rel. 9 (2005) 3 [gr-qc/0510072].
40. S. Mukohyama, Dark matter as integration constant in Hořava- Lifshitz gravity, Phys. Rev. D 80 (2009) 064005 [arXiv:0905.3563].
41. J. Polchinski, Effective field theory and the Fermi surface, hep-th/9210046.
42. N. Arkani-Hamed, H.-C. Cheng, M.A. Luty, S. Mukohyama and T. Wiseman, Dynamics of gravity in a Higgs phase, JHEP 01 (2007) 036 [hep-ph/0507120].
43. J. Kluson, Note about Hamiltonian formalism of modified F(R) Hořava-Lifshitz gravities and their healthy extension, Phys. Rev. D 82 (2010) 044004 [arXiv:1002.4859].
44. A. Papazoglou and T.P. Sotiriou, Strong coupling in extended Hořava-Lifshitz gravity, Phys. Lett. B 685 (2010) 197 [arXiv:0911.1299].
45. S. Groot Nibbelink and M. Pospelov, Lorentz violation in supersymmetric field theories, Phys. Rev. Lett. 94 (2005) 081601 [hep-ph/0404271].
46. P.A. Bolokhov, S. Groot Nibbelink and M. Pospelov, Lorentz violating supersymmetric quantum electrodynamics, Phys. Rev. D 72 (2005) 015013 [hep-ph/0505029].
47. MAGIC collaboration, J. Albert et al., Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope, Phys. Lett. B 668 (2008) 253 [arXiv:0708.2889].
48. Fermi GBM/LAT collaboration, M. Ackermann et al., Testing Einstein's special relativity with Fermi's short hard ?-ray burst GRB090510, Nature 462 (2009) 331 [arXiv:0908.1832].
49. http://gammaray.nsstc.nasa.gov/gbm/grb/GRB090510/supporting material.pdf.
50. M. Galaverni and G. Sigl, Lorentz violation in the photon sector and ultra-high energy cosmic rays, Phys. Rev. Lett. 100 (2008) 021102 [arXiv:0708.1737].
51. L. Maccione and S. Liberati, GZK photon constraints on Planck scale Lorentz violation in QED, JCAP 08 (2008) 027 [arXiv:0805.2548].
52. M. Galaverni and G. Sigl, Lorentz violation and ultrahigh-energy photons, Phys. Rev. D 78 (2008) 063003 [arXiv:0807.1210].
53. L. Maccione, A.M. Taylor, D.M. Mattingly and S. Liberati, Planck-scale Lorentz violation constrained by ultra-high-energy cosmic rays, JCAP 04 (2009) 022 [arXiv:0902.1756].
54. G. Gabadadze and L. Grisa, Lorentz-violating massive gauge and gravitational fields, Phys. Lett. B 617 (2005) 124 [hep-th/0412332].
55. G. Dvali, M. Papucci and M.D. Schwartz, Infrared Lorentz violation and slowly instantaneous electricity, Phys. Rev. Lett. 94 (2005) 191602 [hep-th/0501157].
56. M.V. Bebronne, Instantaneous interaction in massive gravity, Phys. Lett. B 668 (2008) 432 [arXiv:0806.1167].
57. B.Z. Foster, Metric redefinitions in Einstein-aether theory, Phys. Rev. D 72 (2005) 044017 [gr-qc/0502066].
58. J.W. Elliott, G.D. Moore and H. Stoica, Constraining the new aether: gravitational Cherenkov radiation, JHEP 08 (2005) 066 [hep-ph/0505211].
59. S.M. Carroll and E.A. Lim, Lorentz-violating vector fields slow the universe down, Phys. Rev. D 70 (2004) 123525 [hep-th/0407149].
60. B.Z. Foster and T. Jacobson, Post-Newtonian parameters and constraints on Einstein-aether theory, Phys. Rev. D 73 (2006) 064015 [gr-qc/0509083].
61. C.M. Will and K. Nordtvedt Jr., Conservation laws and preferred frames in relativistic gravity. I. Preferred-frame theories and an extended PPN formalism, Astrophys. J. 177 (1972) 757.
62. G. Giribet, D.L. Nacir and F.D. Mazzitelli, Counterterms in semiclassical Hořava-Lifshitz gravity, JHEP 09 (2010) 009 [arXiv:1006.2870].
63. R. Iengo and M. Serone, A simple UV-completion of QED in 5D, Phys. Rev. D 81 (2010) 125005 [arXiv:1003.4430].
64. G. Calcagni, Cosmology of the Lifshitz universe, JHEP 09 (2009) 112 [arXiv:0904.0829].
65. E. Kiritsis and G. Kofinas, Hořava-Lifshitz cosmology, Nucl. Phys. B 821 (2009) 467 [arXiv:0904.1334].
66. R. Brandenberger, Matter bounce in Hořava-Lifshitz cosmology, Phys. Rev. D 80 (2009) 043516 [arXiv:0904.2835].
67. X. Gao, Y. Wang, W. Xue and R. Brandenberger, Fluctuations in a Hořava-Lifshitz bouncing cosmology, JCAP 02 (2010) 020 [arXiv:0911.3196].
68. S.L. Dubovsky and S.M. Sibiryakov, Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind, Phys. Lett. B 638 (2006) 509 [hep-th/0603158].
69. C. Eling, B.Z. Foster, T. Jacobson and A.C. Wall, Lorentz violation and perpetual motion, Phys. Rev. D 75 (2007) 101502 [hep-th/0702124].
70. S. Weinberg, The quantum theory of fields. Vol. 1: Foundations, Cambridge University Press, Cambridge U.K. (1995).
71. E. Kiritsis, Spherically symmetric solutions in modified Hořava-Lifshitz gravity, Phys. Rev. D 81 (2010) 044009 [arXiv:0911.3164].
72. J. Collins, A. Perez, D. Sudarsky, L. Urrutia and H. Vucetich, Lorentz invariance and quantum gravity: an additional fine-tuning problem?, Phys. Rev. Lett. 93 (2004) 191301 [gr-qc/0403053].
73. R. Iengo, J.G. Russo and M. Serone, Renormalization group in Lifshitz-type theories, JHEP 11 (2009) 020 [arXiv:0906.3477].
74. T. Kobayashi, Y. Urakawa and M. Yamaguchi, Cosmological perturbations in a healthy extension of Hořava gravity, JCAP 04 (2010) 025 [arXiv:1002.3101].
75. C. Armendariz-Picon, N.F. Sierra and J. Garriga, Primordial perturbations in Einstein-aether and BPSH theories, JCAP 07 (2010) 010 [arXiv:1003.1283].
76. I. Kimpton and A. Padilla, Lessons from the decoupling limit of Hořava gravity, JHEP 07 (2010) 014 [arXiv:1003.5666].