Superluminality in the Bi- and Multi-Galileon

Journal of High Energy Physics

Volumn 2013, Issue 7, 2013, Pages

  De Fromont, Paul ^a   De Rham, Claudia ^b   Heisenberg, Lavinia ^b,c   Matas, Andrew ^b  

^a UNIVERSITÉ DE LYON   (France)

^b CASE WESTERN RESERVE UNIVERSITY   (United States)

^c UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Classical Theories of Gravity; Cosmology of Theories beyond the SM

Indexed keywords

EID: 84881342624     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2013)067     Document Type: Article

References (86)

1. WMAP collaboration, G. Hinshaw et al., Nine-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological parameter results, arXiv:1212.5226 [ INSPIRE ].
2. SDSS collaboration, W.J. Percival et al., Baryon acoustic oscillations in the Sloan Digital Sky Survey data release 7 galaxy sample, Mon. Not. Roy. Astron. Soc. 401 (2010) 2148 [ arXiv:0907.1660 ] [ INSPIRE ].
3. O. Ilbert et al., COSMOS photometric redshifts with 30-bands for 2-deg2, Astrophys. J. 690 (2009) 1236 [ arXiv:0809.2101 ] [ INSPIRE ].
4. P. Peebles and B. Ratra, The cosmological constant and dark energy, Rev. Mod. Phys. 75 (2003) 559 [ astro-ph/0207347 ] [ INSPIRE ]. (Pubitemid 36719930)
5. T. Padmanabhan, Cosmological constant: the weight of the vacuum, Phys. Rept. 380 (2003) 235 [ hep-th/0212290 ] [ INSPIRE ]. (Pubitemid 36688412)
6. M. Doran, M.J. Lilley, J. Schwindt and C. Wetterich, Quintessence and the separation of CMB peaks, Astrophys. J. 559 (2001) 501 [ astro-ph/0012139 ] [ INSPIRE ].
7. S.M. Carroll, Quintessence and the rest of the world, Phys. Rev. Lett. 81 (1998) 3067 [ astro-ph/9806099 ] [ INSPIRE ].
8. G. Dvali, G. Gabadadze and M. Porrati, 4D gravity on a brane in 5D Minkowski space, Phys. Lett. B 485 (2000) 208 [ hep-th/0005016 ] [ INSPIRE ].
9. G. Dvali and G. Gabadadze, Gravity on a brane in infinite volume extra space, Phys. Rev. D 63 (2001) 065007 [ hep-th/0008054 ] [ INSPIRE ].
10. A. Vainshtein, To the problem of nonvanishing gravitation mass, Phys. Lett. B 39 (1972) 393 [ INSPIRE ].
11. M.A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model, JHEP 09 (2003) 029 [ hep-th/0303116 ] [ INSPIRE ].
12. C. Deffayet, G. Dvali and G. Gabadadze, Accelerated universe from gravity leaking to extra dimensions, Phys. Rev. D 65 (2002) 044023 [ astro-ph/0105068 ] [ INSPIRE ].
13. K. Koyama, Are there ghosts in the self-accelerating brane universe?, Phys. Rev. D 72 (2005) 123511 [ hep-th/0503191 ] [ INSPIRE ].
14. C. Charmousis, R. Gregory, N. Kaloper and A. Padilla, DGP specteroscopy, JHEP 10 (2006) 066 [ hep-th/0604086 ] [ INSPIRE ].
15. C. de Rham and A.J. Tolley, Mimicking Λ with a spin-two ghost condensate, JCAP 07 (2006) 004 [ hep-th/0605122 ] [ INSPIRE ]. (Pubitemid 44525140)
16. A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [ arXiv:0811.2197 ] [ INSPIRE ].
17. C. de Rham and A.J. Tolley, DBI and the Galileon reunited, JCAP 05 (2010) 015 [ arXiv:1003.5917 ] [ INSPIRE ].
18. C. de Rham, Galileons in the sky, Comptes Rendus Physique 13 (2012) 666 [ arXiv:1204.5492 ] [ INSPIRE ].
19. F.P. Silva and K. Koyama, Self-accelerating universe in Galileon cosmology, Phys. Rev. D 80 (2009) 121301 [ arXiv:0909.4538 ] [ INSPIRE ].
20. J. Khoury and M. Wyman, N-body simulations of DGP and degravitation theories, Phys. Rev. D 80 (2009) 064023 [ arXiv:0903.1292 ] [ INSPIRE ].
21. J. Neveu et al., Experimental constraints on the uncoupled Galileon model from SNLS3 data and other cosmological probes, Astron. Astrophys. A 53 (2013) 555 [ arXiv:1302.2786 ] [ INSPIRE ].
22. S. Appleby and E.V. Linder, The paths of gravity in Galileon cosmology, JCAP 03 (2012) 043 [ arXiv:1112.1981 ] [ INSPIRE ].
23. S.A. Appleby and E.V. Linder, Trial of Galileon gravity by cosmological expansion and growth observations, JCAP 08 (2012) 026 [ arXiv:1204.4314 ] [ INSPIRE ].
24. M. Jamil, D. Momeni and R. Myrzakulov, Observational constraints on non-minimally coupled Galileon model, Eur. Phys. J. C 73 (2013) 2347 [ arXiv:1302.0129 ] [ INSPIRE ].
25. A. Barreira, B. Li, C.M. Baugh and S. Pascoli, Linear perturbations in Galileon gravity models, Phys. Rev. D 86 (2012) 124016 [ arXiv:1208.0600 ] [ INSPIRE ].
26. V. Rubakov and P. Tinyakov, Infrared-modified gravities and massive gravitons, Phys. Usp. 51 (2008) 759 [ arXiv:0802.4379 ] [ INSPIRE ].
27. M. Koehn, J.-L. Lehners and B. Ovrut, Supersymmetric Galileons have ghosts, arXiv:1302.0840 [ INSPIRE ].
28. A. Barreira, B. Li, A. Sanchez, C.M. Baugh and S. Pascoli, The parameter space in Galileon gravity models, Phys. Rev. D 87 (2013) 103511 [ arXiv:1302.6241 ] [ INSPIRE ].
29. P. Creminelli, A. Nicolis and E. Trincherini, Galilean genesis: an alternative to inflation, JCAP 11 (2010) 021 [ arXiv:1007.0027 ] [ INSPIRE ].
30. L. Levasseur Perreault, R. Brandenberger and A.-C. Davis, Defrosting in an emergent Galileon cosmology, Phys. Rev. D 84 (2011) 103512 [ arXiv:1105.5649 ] [ INSPIRE ].
31. Y. Wang and R. Brandenberger, Scale-invariant fluctuations from Galilean genesis, JCAP 10 (2012) 021 [ arXiv:1206.4309 ] [ INSPIRE ].
32. T. Kobayashi, M. Yamaguchi and J. Yokoyama, G-inflation: inflation driven by the Galileon field, Phys. Rev. Lett. 105 (2010) 231302 [ arXiv:1008.0603 ] [ INSPIRE ].
33. T. Kobayashi, M. Yamaguchi and J. Yokoyama, Primordial non-Gaussianity from G-inflation, Phys. Rev. D 83 (2011) 103524 [ arXiv:1103.1740 ] [ INSPIRE ].
34. T. Kobayashi, M. Yamaguchi and J. Yokoyama, Generalized G-inflation: inflation with the most general second-order field equations, Prog. Theor. Phys. 126 (2011) 511 [ arXiv:1105.5723 ] [ INSPIRE ].
35. X. Gao and D.A. Steer, Inflation and primordial non-Gaussianities of 'generalized Galileons', JCAP 12 (2011) 019 [ arXiv:1107.2642 ] [ INSPIRE ].
36. A. De Felice, S. Tsujikawa, J. Elliston and R. Tavakol, Chaotic inflation in modified gravitational theories, JCAP 08 (2011) 021 [ arXiv:1105.4685 ] [ INSPIRE ].
37. S. Choudhury and S. Pal, DBI Galileon inflation in background SUGRA, Nucl. Phys. B 874 (2013) 85 [ arXiv:1208.4433 ] [ INSPIRE ].
38. C. Burrage, C. de Rham, D. Seery and A.J. Tolley, Galileon inflation, JCAP 01 (2011) 014 [ arXiv:1009.2497 ] [ INSPIRE ].
39. P. Creminelli, G. D'Amico, M. Musso, J. Norena and E. Trincherini, Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity, JCAP 02 (2011) 006 [ arXiv:1011.3004 ] [ INSPIRE ].
40. S. Mizuno and K. Koyama, Primordial non-Gaussianity from the DBI Galileons, Phys. Rev. D 82 (2010) 103518 [ arXiv:1009.0677 ] [ INSPIRE ].
41. S. Renaux-Petel, Orthogonal non-Gaussianities from Dirac-Born-Infeld Galileon inflation, Class. Quant. Grav. 28 (2011) 182001 [Erratum ibid. 28 (2011) 249601] [ arXiv:1105.6366 ] [ INSPIRE ].
42. S. Renaux-Petel, S. Mizuno and K. Koyama, Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation, JCAP 11 (2011) 042 [ arXiv:1108.0305 ] [ INSPIRE ].
43. A. De Felice and S. Tsujikawa, Inflationary non-Gaussianities in the most general second-order scalar-tensor theories, Phys. Rev. D 84 (2011) 083504 [ arXiv:1107.3917 ] [ INSPIRE ].
44. S. Choudhury and S. Pal, Large non-Gaussianities from DBI Galileon and resolution of sensitivity problem, arXiv:1210.4478 [ INSPIRE ].
45. K. Hinterbichler and J. Khoury, The pseudo-conformal universe: scale invariance from spontaneous breaking of conformal symmetry, JCAP 04 (2012) 023 [ arXiv:1106.1428 ] [ INSPIRE ].
46. M. Wyman, Galilean-invariant scalar fields can strengthen gravitational lensing, Phys. Rev. Lett. 106 (2011) 201102 [ arXiv:1101.1295 ] [ INSPIRE ].
47. L. Berezhiani, G. Chkareuli and G. Gabadadze, Restricted Galileons, arXiv:1302.0549 [ INSPIRE ].
48. C. de Rham, A.J. Tolley and D.H. Wesley, Vainshtein mechanism in binary pulsars, Phys. Rev. D 87 (2013) 044025 [ arXiv:1208.0580 ] [ INSPIRE ].
49. Y.-Z. Chu and M. Trodden, Retarded Green's function of a Vainshtein system and Galileon waves, Phys. Rev. D 87 (2013) 024011 [ arXiv:1210.6651 ] [ INSPIRE ].
50. C. de Rham, A. Matas and A.J. Tolley, Galileon radiation from binary systems, arXiv:1212.5212 [ INSPIRE ].
51. N. Chow and J. Khoury, Galileon cosmology, Phys. Rev. D 80 (2009) 024037 [ arXiv:0905.1325 ] [ INSPIRE ].
52. C. de Rham and L. Heisenberg, Cosmology of the Galileon from massive gravity, Phys. Rev. D 84 (2011) 043503 [ arXiv:1106.3312 ] [ INSPIRE ].
53. C. Deffayet, G. Esposito-Farese and A. Vikman, Covariant Galileon, Phys. Rev. D 79 (2009) 084003 [ arXiv:0901.1314 ] [ INSPIRE ].
54. C. Deffayet, S. Deser and G. Esposito-Farese, Generalized Galileons: all scalar models whose curved background extensions maintain second-order field equations and stress-tensors, Phys. Rev. D 80 (2009) 064015 [ arXiv:0906.1967 ] [ INSPIRE ].
55. C. Deffayet, X. Gao, D. Steer and G. Zahariade, From k-essence to generalised Galileons, Phys. Rev. D 84 (2011) 064039 [ arXiv:1103.3260 ] [ INSPIRE ].
56. G. Goon, K. Hinterbichler and M. Trodden, Symmetries for Galileons and DBI scalars on curved space, JCAP 07 (2011) 017 [ arXiv:1103.5745 ] [ INSPIRE ].
57. G. Goon, K. Hinterbichler and M. Trodden, A new class of effective field theories from embedded branes, Phys. Rev. Lett. 106 (2011) 231102 [ arXiv:1103.6029 ] [ INSPIRE ].
58. C. Burrage, C. de Rham and L. Heisenberg, De Sitter Galileon, JCAP 05 (2011) 025 [ arXiv:1104.0155 ] [ INSPIRE ].
59. C. de Rham, G. Gabadadze, D. Pirtskhalava, A.J. Tolley and I. Yavin, Nonlinear dynamics of 3D massive gravity, JHEP 06 (2011) 028 [ arXiv:1103.1351 ] [ INSPIRE ].
60. C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of massive gravity, Phys. Rev. Lett. 106 (2011) 231101 [ arXiv:1011.1232 ] [ INSPIRE ].
61. C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action, Phys. Rev. D 82 (2010) 044020 [ arXiv:1007.0443 ] [ INSPIRE ].
62. A. Nicolis and R. Rattazzi, Classical and quantum consistency of the DGP model, JHEP 06 (2004) 059 [ hep-th/0404159 ] [ INSPIRE ].
63. K. Hinterbichler, M. Trodden and D. Wesley, Multi-field Galileons and higher co-dimension branes, Phys. Rev. D 82 (2010) 124018 [ arXiv:1008.1305 ] [ INSPIRE ].
64. C. de Rham, G. Gabadadze, L. Heisenberg and D. Pirtskhalava, Non-renormalization and naturalness in a class of scalar-tensor theories, arXiv:1212.4128 [ INSPIRE ].
65. K. Hinterbichler, A. Nicolis and M. Porrati, Superluminality in DGP, JHEP 09 (2009) 089 [ arXiv:0905.2359 ] [ INSPIRE ].
66. G.L. Goon, K. Hinterbichler and M. Trodden, Stability and superluminality of spherical DBI Galileon solutions, Phys. Rev. D 83 (2011) 085015 [ arXiv:1008.4580 ] [ INSPIRE ].
67. A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [ hep-th/0602178 ] [ INSPIRE ].
68. A. Nicolis, R. Rattazzi and E. Trincherini, Energy's and amplitudes' positivity, JHEP 05 (2010) 095 [Erratum ibid. 11 (2011) 128] [ arXiv:0912.4258 ] [ INSPIRE ].
69. S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, Null energy condition and superluminal propagation, JHEP 03 (2006) 025 [ hep-th/0512260 ] [ INSPIRE ]. (Pubitemid 43536351)
70. A. Gruzinov, All Fierz-Paulian massive gravity theories have ghosts or superluminal modes, arXiv:1106.3972 [ INSPIRE ].
71. C. de Rham, G. Gabadadze and A.J. Tolley, Comments on (super)luminality, arXiv:1107.0710 [ INSPIRE ].
72. S. Deser and A. Waldron, Acausality of massive gravity, Phys. Rev. Lett. 110 (2013) 111101 [ arXiv:1212.5835 ] [ INSPIRE ].
73. E. Babichev, V. Mukhanov and A. Vikman, k-essence, superluminal propagation, causality and emergent geometry, JHEP 02 (2008) 101 [ arXiv:0708.0561 ] [ INSPIRE ].
74. C. Burrage, C. de Rham, L. Heisenberg and A.J. Tolley, Chronology protection in Galileon models and massive gravity, JCAP 07 (2012) 004 [ arXiv:1111.5549 ] [ INSPIRE ].
75. K. Izumi and Y.C. Ong, An analysis of characteristics in non-linear massive gravity, arXiv:1304.0211 [ INSPIRE ].
76. C. de Rham et al., Cascading gravity: extending the Dvali-Gabadadze- Porrati model to higher dimension, Phys. Rev. Lett. 100 (2008) 251603 [ arXiv:0711.2072 ] [ INSPIRE ].
77. C. de Rham, S. Hofmann, J. Khoury and A.J. Tolley, Cascading gravity and degravitation, JCAP 02 (2008) 011 [ arXiv:0712.2821 ] [ INSPIRE ].
78. C. de Rham, J. Khoury and A.J. Tolley, Flat 3-brane with tension in cascading gravity, Phys. Rev. Lett. 103 (2009) 161601 [ arXiv:0907.0473 ] [ INSPIRE ].
79. C. Deffayet, S. Deser and G. Esposito-Farese, Arbitrary p-form Galileons, Phys. Rev. D 82 (2010) 061501 [ arXiv:1007.5278 ] [ INSPIRE ].
80. A. Padilla, P.M. Saffin and S.-Y. Zhou, Bi-Galileon theory I: motivation and formulation, JHEP 12 (2010) 031 [ arXiv:1007.5424 ] [ INSPIRE ].
81. A. Padilla, P.M. Saffin and S.-Y. Zhou, Bi-Galileon theory II: phenomenology, JHEP 01 (2011) 099 [ arXiv:1008.3312 ] [ INSPIRE ].
82. G. Dvali, G.F. Giudice, C. Gomez and A. Kehagias, UV-completion by classicalization, JHEP 08 (2011) 108 [ arXiv:1010.1415 ] [ INSPIRE ].
83. G. Dvali, A. Franca and C. Gomez, Road signs for UV-completion, arXiv:1204.6388 [ INSPIRE ].
84. P. de Fromont, Supraluminalité dans les modèles de gravité modifiée avec Galiléon (in French), http://www.ens-lyon.fr/DSM/SDMsite/M2/stages M2/deFromont.pdf, Master thesis: 'Master Sciences de la matière', École Normale Supérieure de Lyon, Université Claude Bernard Lyon I, Lyon France August 2011.
85. A. Vikman, Suppressing quantum fluctuations in classicalization, Europhys. Lett. 101 (2013) 34001 [ arXiv:1208.3647 ] [ INSPIRE ].
86. S. Garcia-Saenz, Behavior of perturbations on spherically symmetric backgrounds in multi-Galileon theory, Phys. Rev. D 87 (2013) 104012 [ arXiv:1303.2905 ] [ INSPIRE ].