Tests of Lorentz invariance: A 2013 update

Classical and Quantum Gravity

Volumn 30, Issue 13, 2013, Pages

  Liberati, S ^a,b  

^a SISSA   (Italy)

^b SEZIONE DI TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84879526441     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/30/13/133001     Document Type: Review

References (243)

1. Mavromatos N E 2005 CPT violation and decoherence in quantum gravity Lect. Notes Phys. 669 245-320 (arXiv:gr-qc/0407005)
2. Weinberg S 2005 Quantum contributions to cosmological correlations Phys. Rev. D 72 043514 (arXiv:hep-th/0506236)
3. Damour T and Polyakov A M 1994 The string dilaton and a least coupling principle Nucl. Phys. B 423 532-58 (arXiv:hep-th/9401069) (Pubitemid 124002717)
4. Barrow J D 1997 Varying g and other constants arXiv:gr-qc/9711084
5. Bleicher M, Hofmann S, Hossenfelder S and Stoecker H 2002 Black hole production in large extra dimensions at the Tevatron: a chance to observe a first glimpse of TeV scale gravity Phys. Lett. B 548 73-6 (arXiv:hep-ph/0112186)
6. Amelino-Camelia G 1999 An interferometric gravitational wave detector as a quantum gravity apparatus Nature 398 216-8 (arXiv:gr-qc/9808029) (Pubitemid 29142850)
7. Garay L J 1995 Quantum gravity and minimum length Int. J. Mod. Phys. A 10 145-66 (arXiv:gr-qc/9403008)
8. Hossenfelder S 2012 Minimal length scale scenarios for quantum gravity arXiv:gr-qc/1203.6191
9. Marin F et al 2013 Gravitational bar detectors set limits to Planck-scale physics on macroscopic variables Nature Phys. 9 71-73
10. Alan Kostelecky V 2004 Gravity, Lorentz violation, and the standard model Phys. Rev. D 69 105009 (arXiv:hep-th/0312310)
11. Mattingly D 2005 Modern tests of lorentz invariance Living Rev. Rel. 8 5 (arXiv:gr-qc/0502097)
12. Fagnocchi S, Finazzi S, Liberati S, Kormos M and Trombettoni A 2010 Relativistic Bose-Einstein condensates: a new system for analogue models of gravity New J. Phys. 12 095012 (arXiv:gr-qc/1001.1044)
13. Barcelo C, Liberati S and Visser M 2011 Analogue gravity Living Rev. Rel. 14 3
14. Girelli F, Liberati S and Sindoni L 2008 Gravitational dynamics in Bose-Einstein condensates Phys. Rev. D 78 084013 (arXiv:gr-qc/0807.4910)
15. Girelli F, Liberati S and Sindoni L 2009 Emergence of Lorentzian signature and scalar gravity Phys. Rev. D 79 044019 (arXiv:gr-qc/0806.4239)
16. Sindoni L 2011 Emergent gravitational dynamics from multi-BEC hydrodynamics? Phys. Rev. D 83 024022 (arXiv:gr-qc/1011.4411)
17. von Ignatowsky W A 1910 Einige allgemeine bemerkungen zum relativitätsprinzip Verh. Deutsch. Phys. Ges. 12 788-96
18. von Ignatowsky W A 1910 Einige allgemeine bemerkungen zum relativitätsprinzip Phys. Zeitsch. 11 972-6
19. von Ignatowsky W A 1911 Das relativitätsprinzip Arch. Math. Phys. 3 1-24
20. von Ignatowsky W A 1911 Das relativitätsprinzip Arch. Math. Phys. 3 17-41
21. von Ignatowsky W A 1911 Eine bemerkung zu meiner arbeit 'einige allgemeine bemerkungen zum relativitätsprinzip' Phys. Zeitsch. 12 779
22. Lévy-Leblond J M 1976 One more derivation of the lorentz transformation Am. J. Phys. 44 1
23. Lévy-Leblond J M 1979 Additivité, rapidité, relativité Am. J. Phys. 47 1
24. Brown H R 2005 Physical Relativity: Space-Time Structure from a Dynamical Perspective (Oxford: Clarendon)
25. Sonego S and Pin M 2009 Foundations of anisotropic relativistic mechanics J. Math. Phys. 50 042902 (arXiv:gr-qc/0812.1294)
26. Berzi V and Gorini V 1969 Reciprocity principle and the Lorentz transformations J. Math. Phys. 10 1518-24
27. Torretti R 1996 Relativity and Geometry (New York: Dover)
28. Liberati S, Sonego S and Visser M 2002 Faster-than-c signals, special relativity, and causality Ann. Phys. 298 167-85 (arXiv:gr-qc/0107091)
29. Trautman A 1994 O tym, jak nietoperze obaliłly teorie wzgledności-how bats have proved the theory of relativity to be wrong Postepy Fiz. 45 73-84
30. Barcelo C and Jannes G 2008 A Real Lorentz-FitzGerald contraction Found. Phys. 38 191-9 (arXiv:gr-qc/0705.4652)
31. Dirac P A M 1951 Is there an Aether? Nature 168 906-7
32. Bjorken J D 1963 A dynamical origin for the electromagnetic field Ann. Phys. 24 174-87
33. Phillips P R 1966 Is the graviton a goldstone boson? Phys. Rev. 146 966-73
34. Blokhintsev D I 1966 Basis for special relativity theory provided by experiments in high energy physics. (T) Sov. Phys. - Usp. 9 405
35. Pavlopoulos T G 1967 Breakdown of Lorentz invariance Phys. Rev. 159 1106-10
36. Rédei L B 1967 Validity of special relativity at small distances and the velocity dependence of the muon lifetime Phys. Rev. 162 1299-300
37. Nielsen H B and Ninomiya M 1978 β-Function in a non-covariant Yang-Mills theory Nucl. Phys. B 141 153-77
38. Ellis J, Gaillard M K, Nanopoulos D V and Rudaz S 1980 Uncertainties in the proton lifetime Nucl. Phys. B 176 61-99
39. Zee A 1982 Perhaps proton decay violates lorentz invariance Phys. Rev. D 25 1864
40. Bech Nielsen H and Picek I 1982 Redei like model and testing lorentz invariance Phys. Lett. B 114 141
41. Chadha S and Nielsen H B 1983 Lorentz invariance as a low energy phenomenon Nucl. Phys. B 217 125-44
42. Nielsen H B and Picek I 1983 Lorentz non-invariance Nucl. Phys. B 211 269-96
43. Roth M 2007 Measurement of the UHECR energy spectrum using data from the surface detector of the pierre Auger observatory arXiv:0706.2096 [astro-ph]
44. Abbasi R et al 2007 Observation of the GZK cutoff by the hires experiment arXiv:astro-ph/0703099
45. Alan Kostelecky V and Samuel S 1989 Spontaneous breaking of lorentz symmetry in string theory Phys. Rev. D 39 683
46. Colladay D and Alan Kostelecky V 1998 Lorentz violating extension of the standard model Phys. Rev. D 58 116002 (arXiv:hep-ph/9809521)
47. Alan Kostelecky V (ed) 2008 CPT and Lorentz Symmetry: Proceedings of the 4th Meeting on CPT and Lorentz Symmetry (Singapore: World Scientific)
48. Amelino-Camelia G, Ellis J R, Mavromatos N E and Nanopoulos D V 1997 Distance measurement and wave dispersion in a Liouville-string approach to quantum gravity Int. J. Mod. Phys. A 12 607-24 (arXiv:hep-th/9605211)
49. Amelino-Camelia G, Ellis J R, Mavromatos N E, Nanopoulos D V and Sarkar S 1998 Potential sensitivity of gamma-ray burster observations to wave dispersion in vacuo Nature 393 763-5 (arXiv:astro-ph/9712103) (Pubitemid 28299480)
50. Ellis J R, Mavromatos N E and Nanopoulos D V 2000 A microscopic recoil model for light-cone fluctuations in quantum gravity Phys. Rev. D 61 027503 (arXiv:gr-qc/9906029)
51. Ellis J R, Mavromatos N E and Nanopoulos D V 2000 Dynamical formation of horizons in recoiling D-branes Phys. Rev. D 62 084019 (arXiv:gr-qc/0006004)
52. Ellis J R, Mavromatos N E and Sakharov Alexander S 2004 Synchrotron radiation from the Crab Nebula discriminates between models of space-time foam Astropart. Phys. 20 669-82 (arXiv:astro-ph/0308403) (Pubitemid 38224823)
53. Coleman S R and Glashow S L 1997 Cosmic ray and neutrino tests of special relativity Phys. Lett. B 405 249-52 (arXiv:hep-ph/9703240) (Pubitemid 127376226)
54. Coleman Sidney R and Glashow S L 1998 Evading the GZK cosmic ray cutoff arXiv:hep-ph/9808446
55. Coleman S R and Glashow S L 1999 High-energy tests of Lorentz invariance Phys. Rev. D 59 116008 (arXiv:hep-ph/9812418)
56. Gonzalez-Mestres L 1996 Physical and cosmological implications of a possible class of particles able to travel faster than light arXiv:hep-ph/9610474
57. Gonzalez-Mestres L 1997 Lorentz symmetry violation and high-energy cosmic rays arXiv:physics/9712005
58. Barcelo C, Liberati S and Visser M 2005 Analogue gravity Living Rev. Rel. 8 12 (arXiv:gr-qc/0505065)
59. Unruh W G 1981 Experimental black hole evaporation Phys. Rev. Lett. 46 1351-3
60. Brandenberger R H and Martin J 2001 The robustness of inflation to changes in super-Planck scale physics Mod. Phys. Lett. A 16 999-1006 (arXiv:astro-ph/0005432)
61. Niemeyer J C and Parentani R 2001 Trans-Planckian dispersion and scale invariance of inflationary perturbations Phys. Rev. D 64 101301 (arXiv:astro-ph/0101451)
62. Niemeyer J C, Parentani R and Campo D 2002 Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff Phys. Rev. D 66 083510 (arXiv:hep-th/0206149)
63. Gambini R and Pullin J 1999 Nonstandard optics from quantum spacetime Phys. Rev. D 59 124021 (arXiv:gr-qc/9809038)
64. Carroll S M, Harvey J A, Alan Kostelecky V, Lane C D and Okamoto T 2001 Noncommutative field theory and Lorentz violation Phys. Rev. Lett. 87 141601 (arXiv:hep-th/0105082) (Pubitemid 32962130)
65. Lukierski J, Ruegg H and Zakrzewski W J 1995 Classical quantum mechanics of free kappa relativistic systems Ann. Phys. 243 90-116 (arXiv:hep-th/9312153)
66. Amelino-Camelia G and Majid S 2000 Waves on noncommutative spacetime and gamma-ray bursts Int. J. Mod. Phys. A 15 4301-24 (arXiv:hep-th/9907110)
67. Burgess C P, Cline J, Filotas E, Matias J and Moore G D 2002 Loop-generated bounds on changes to the graviton dispersion relation J. High Energy Phys. JHEP03(2002)043 (arXiv:hep-ph/0201082)
68. Gasperini M 1985 Inflation and broken lorentz symmetry in the very early universe Phys. Lett. B 163 84
69. Gasperini M 1986 Broken lorentz symmetry and the dimension of space-time Phys. Lett. B 180 221-4
70. Gasperini M 1987 Singularity prevention and broken Lorentz symmetry Class. Quantum Grav. 4 485-94
71. Gasperini M 1988 Lorentz noninvariance and the universality of free fall in quasi-Riemannian gravity Gravitational Measurements, Fundamental Metrology and Constants (Houten: Springer) pp 181-90
72. Gasperini M 1998 Repulsive gravity in the very early universe Gen. Rel. Grav. 30 1703-9 (arXiv:gr-qc/9805060) (Pubitemid 128180110)
73. Mattingly D and Jacobson T 2001 Relativistic gravity with a dynamical preferred frame arXiv:gr-qc/0112012
74. Eling C, Jacobson T and Mattingly D 2004 Einstein-aether theory arXiv:gr-qc/0410001
75. Jacobson T 2007 Einstein-aether gravity: a status report PoS QG-PH 020 (arXiv:gr-qc/0801.1547)
76. Horava P 2009 Quantum gravity at a Lifshitz point Phys. Rev. D 79 084008 (arXiv:hep-th/0901.3775)
77. Sotiriou T P, Visser M and Weinfurtner S 2009 Quantum gravity without Lorentz invariance J. High Energy Phys. JHEP0910(2009)033 arXiv:hep-th/0905.2798
78. Blas D, Pujolas O and Sibiryakov S 2010 Consistent extension of Horava gravity Phys. Rev. Lett. 104 181302 (arXiv:hep-th/0909.3525)
79. Jacobson T 2010 Extended Horava gravity and Einstein-aether theory Phys. Rev. D 81 101502 (arXiv:hep-th/1001.4823)
80. Jacobson T, Liberati S and Mattingly D 2003 Threshold effects and Planck scale Lorentz violation: combined constraints from high energy astrophysics Phys. Rev. D 67 124011 (arXiv:hep-ph/0209264) (Pubitemid 44659442)
81. Mattingly D, Jacobson T and Liberati S 2003 Threshold configurations in the presence of Lorentz violating dispersion relations Phys. Rev. D 67 124012 (arXiv:hep-ph/0211466) (Pubitemid 44659443)
82. Jacobson T, Liberati S and Mattingly D 2006 Lorentz violation at high energy: concepts, phenomena and astrophysical constraints Ann. Phys. 321 150-96 (arXiv:astro-ph/0505267) (Pubitemid 43072826)
83. Anselmi D 2008 Weighted scale invariant quantum field theories J. High Energy Phys. JHEP0802(2008)051 (arXiv:hep-th/0801.1216)
84. Visser M 2009 Power-counting renormalizability of generalized Horava gravity arXiv:hep-th/0912.4757
85. Myers R C and Pospelov M 2003 Experimental challenges for quantum gravity Phys. Rev. Lett. 90 211601 (arXiv:hep-ph/0301124)
86. Mattingly D 2008 Have we tested Lorentz invariance enough? arXiv:gr-qc/0802.1561
87. Amelino-Camelia G 2002 Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale Int. J. Mod. Phys. D 11 35-60 (arXiv:gr-qc/0012051)
88. Magueijo J and Smolin L 2002 Lorentz invariance with an invariant energy scale Phys. Rev. Lett. 88 190403 (arXiv:hep-th/0112090)
89. Magueijo J and Smolin L 2003 Generalized Lorentz invariance with an invariant energy scale Phys. Rev. D 67 044017 (arXiv:gr-qc/0207085) (Pubitemid 44628030)
90. Amelino-Camelia G 2003 Kinematical solution of the UHE-cosmic-ray puzzle without a preferred class of inertial observers Int. J. Mod. Phys. D 12 1211-26 (arXiv:astro-ph/0209232) (Pubitemid 37215302)
91. Amelino-Camelia G, Freidel Laurent, Kowalski-Glikman J and Smolin L 2011 The principle of relative locality Phys. Rev. D 84 084010 (arXiv:hep-th/1101. 0931)
92. Amelino-Camelia G, Freidel Laurent, Kowalski-Glikman J and Smolin L 2011 Relative locality: a deepening of the relativity principle Gen. Rel. Grav. 43 2547-53 (arXiv:hep-th/1106.0313)
93. Carmona J M, Cortes J L, Mazon D and Mercati F 2011 About locality and the relativity principle beyond special relativity Phys. Rev. D 84 085010 (arXiv:hep-th/1107.0939)
94. Amelino-Camelia G 2012 On the fate of Lorentz symmetry in relative-locality momentum spaces Phys. Rev. D 85 084034 (arXiv:hep-th/1110. 5081)
95. Kowalski-Glikman J 2012 Curved momentum space and relative locality Int. J. Geom. Methods Mod. Phys. 09 1261008 arXiv:hep-th/1205.1304
96. Riess A G et al 1998 Observational evidence from supernovae for an accelerating universe and a cosmological constant Astron. J. 116 1009-38 (arXiv:astro-ph/9805201) (Pubitemid 128138905)
97. Perlmutter S et al 1999 Measurements of omega and lambda from 42 high redshift supernovae Astrophys. J. 517 565-86 (arXiv:astro-ph/9812133) (The supernova cosmology project)
98. Greisen K 1966 End to the cosmic ray spectrum? Phys. Rev. Lett. 16 748-50
99. Zatsepin G T and Kuz'min V A 1969 On the interaction of cosmic rays with photons Cosmic Rays vol 11 (Moscow) pp 45-47
100. Takeda M et al 1998 Extension of the cosmic ray energy spectrum beyond the predicted Greisen-Zatsepin-Kuz'min cutoff Phys. Rev. Lett. 81 1163-6 (arXiv:astro-ph/9807193) (Pubitemid 128628934)
101. Protheroe R J and Meyer H 2000 An infrared background TeV gamma-ray crisis? Phys. Lett. B 493 1-6 (arXiv:astro-ph/0005349)
102. Adam T et al 2011 Measurement of the neutrino velocity with the OPERA detector in the CNGS beam arXiv:hep-ex/1109.4897
103. Amelino-Camelia G et al 2011 OPERA-reassessing data on the energy dependence of the speed of neutrinos Int. J. Mod. Phys. D 20 2623-40 (arXiv:hep-ph/1109.5172)
104. Cohen A G and Glashow S L 2011 Pair creation constrains superluminal neutrino propagation Phys. Rev. Lett. 107 181803 (arXiv:hep-ph/1109.6562)
105. Maccione L, Liberati S and Mattingly D M 2011 Violations of Lorentz invariance in the neutrino sector after OPERA arXiv:hep-ph/1110.0783v.2
106. Carmona J M and Cortes J L 2011 Constraints from neutrino decay on superluminal velocities arXiv:hep-ph/1110.0430
107. Antonello M et al 2012 Measurement of the neutrino velocity with the ICARUS detector at the CNGS beam arXiv:hep-ex/1203.3433
108. Antonello M et al 2012 Precision measurement of the neutrino velocity with the ICARUS detector in the CNGS beam J. High Energy Phys. JHEP1211(2012)049 (arXiv:hep-ex/1208.2629)
109. Chaichian M, Dolgov A D, Novikov V A and Tureanu A 2011 CPT violation does not lead to violation of Lorentz invariance and vice versa Phys. Lett. B 699 177-80 (arXiv:hep-th/1103.0168)
110. Greenberg O W 2002 CPT violation implies violation of lorentz invariance Phys. Rev. Lett. 89 231602 (arXiv:hep-ph/0201258)
111. Dowker F, Henson J and Sorkin R D 2004 Quantum gravity phenomenology, Lorentz invariance and discreteness Mod. Phys. Lett. A 19 1829-40 (arXiv:gr-qc/0311055)
112. Rovelli C and Speziale S 2003 Reconcile Planck scale discreteness and the Lorentz-Fitzgerald contraction Phys. Rev. D 67 064019 (arXiv:gr-qc/0205108) (Pubitemid 44642106)
113. Livine E R and Oriti D 2004 About Lorentz invariance in a discrete quantum setting J. High Energy Phys. JHEP0406(2004)050 (arXiv:gr-qc/0405085)
114. Kogut A et al 1993 Dipole anisotropy in the COBE DMR first year sky maps Astrophys. J. 419 1 (arXiv:astro-ph/9312056) (Pubitemid 24755161)
115. Kostelecky Alan and Mewes M 2012 Neutrinos with Lorentz-violating operators of arbitrary dimension Phys. Rev. D 85 096005 arXiv:hep-ph/1112.6395
116. Bolokhov P A and Pospelov M 2007 Classification of dimension 5 lorentz violating interactions in the standard model arXiv:hep-ph/0703291
117. Jacobson T A, Liberati S, Mattingly D and Stecker F W 2004 New limits on planck scale Lorentz violation in QED Phys. Rev. Lett. 93 021101 (arXiv:astro-ph/0309681)
118. Alan Kostelecky V and Mewes M 2009 Electrodynamics with Lorentz-violating operators of arbitrary dimension Phys. Rev. D 80 015020 (arXiv:hep-ph/0905. 0031)
119. Stecker F W and Glashow S L 2001 New tests of Lorentz invariance following from observations of the highest energy cosmic gamma-rays Astropart. Phys. 16 97-99 (arXiv:astro-ph/0102226) (Pubitemid 33646205)
120. Liberati S and Mattingly D 2012 Lorentz breaking effective field theory models for matter and gravity: theory and observational constraints arXiv:gr-qc/1208.1071
121. Arkani-Hamed N, Cheng H-C, Luty M A and Mukohyama S 2004 Ghost condensation and a consistent infrared modification of gravity J. High Energy Phys. JHEP05(2004)074 (arXiv:hep-th/0312099)
122. Jacobson T and Mattingly D 2001 Gravity with a dynamical preferred frame Phys. Rev. D 64 024028 (arXiv:gr-qc/0007031) (Pubitemid 33794611)
123. Bluhm R, Gagne N L, Potting R and Vrublevskis A 2008 Constraints and stability in vector theories with spontaneous Lorentz violation Phys. Rev. D 77 125007 (arXiv:hep-th/0802.4071)
124. Alan Kostelecky V and Tasson J 2009 Prospects for large relativity violations in matter-gravity couplings Phys. Rev. Lett. 102 010402 (arXiv:gr-qc/0810.1459)
125. Sotiriou T P 2011 Horava-Lifshitz gravity: a status report J. Phys.: Conf. Ser. 283 012034 (arXiv:hep-th/1010.3218)
126. Visser M 2009 Lorentz symmetry breaking as a quantum field theory regulator Phys. Rev. D 80 025011 (arXiv:hep-th/0902.0590)
127. Blas D, Pujolas O and Sibiryakov S 2011 Models of non-relativistic quantum gravity: the good, the bad and the healthy J. High Energy Phys. JHEP1104(2011)018 (arXiv:hep-th/1007.3503)
128. Vernieri D and Sotiriou T P 2012 Horava-Lifshitz gravity: detailed balance revisited Phys. Rev. D 85 064003 (arXiv:1112.3385)
129. Afshordi N 2009 Cuscuton and low energy limit of Horava-Lifshitz gravity Phys. Rev. D 80 081502 (arXiv:0907.5201)
130. Barausse E and Sotiriou T P 2012 A no-go theorem for slowly rotating black holes in Horava-Lifshitz gravity Phys. Rev. Lett. 109 181101 (arXiv:gr-qc/1207.6370)
131. Barausse E and Sotiriou T P 2012 Slowly rotating black holes in Horava-Lifshitz gravity arXiv:gr-qc/1212.1334
132. Germani C, Kehagias A and Sfetsos K 2009 Relativistic quantum gravity at a Lifshitz point J. High Energy Phys. JHEP0909(2009)060 (arXiv:hep-th/0906.1201)
133. Parentani R 2007 Constructing QFT's wherein Lorentz invariance is broken by dissipative effects in the UV PoS QG-PH 031 (arXiv:hep-th/0709.3943)
134. Collins J, Perez A, Sudarsky D, Urrutia L and Vucetich H 2004 Lorentz invariance: an additional fine-tuning problem Phys. Rev. Lett. 93 191301 (arXiv:gr-qc/0403053)
135. Gambini R, Rastgoo S and Pullin J 2011 Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects? Class. Quantum Grav. 28 155005 (arXiv:1106.1417)
136. Polchinski J 2012 Comment on 'Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?' Class. Quantum Grav. 29 088001 (arXiv:gr-qc/1106.6346)
137. Iengo R, Russo J G and Serone M 2009 Renormalization group in Lifshitz-type theories J. High Energy Phys. JHEP0911(2009)020 (arXiv:hep-th/0906.3477)
138. Groot Nibbelink S and Pospelov M 2005 Lorentz violation in supersymmetric field theories Phys. Rev. Lett. 94 081601 (arXiv:hep-ph/0404271) (Pubitemid 40620644)
139. Bolokhov P A, Groot Nibbelink S and Pospelov M 2005 Lorentz violating supersymmetric quantum electrodynamics Phys. Rev. D 72 015013 (arXiv:hep-ph/0505029)
140. ATLAS-Collaboration Public data release https://twiki.cern.ch/twiki/bin/ view/AtlasPublic/CombinedSummaryPlots
141. Liberati S, Visser M and Weinfurtner S 2006 Naturalness in emergent spacetime Phys. Rev. Lett. 96 151301 (arXiv:gr-qc/0512139)
142. Liberati S, Visser M and Weinfurtner S 2006 Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate Class. Quantum Grav. 23 3129-54 (arXiv:gr-qc/0510125) (Pubitemid 43643153)
143. Pospelov M and Shang Y 2010 On Lorentz violation in Horava-Lifshitz type theories arXiv:hep-th/1010.5249
144. Sundrum R 2012 From fixed points to the fifth dimension Phys. Rev. D 86 085025 (arXiv:1106.4501)
145. Bednik G, Pujolas O and Sibiryakov S 2013 Emergent Lorentz invariance from strong dynamics: holographic examples arXiv:1305.0011
146. Alan Kostelecky V and Russell N 2008 Data tables for Lorentz and CPT violation arXiv:hep-ph/0801.0287
147. Brown J M, Smullin S J, Kornack T W and Romalis M V 2010 New limit on Lorentz and CPT-violating neutron spin interactions Phys. Rev. Lett. 105 151604 (arXiv:1006.5425)
148. 21Ne-Rb-K comagnetometer Phys. Rev. Lett. 107 171604 (arXiv:1106.0738)
149. Amelino-Camelia G, Laemmerzahl C, Mercati F and Tino G M 2009 Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms Phys. Rev. Lett. 103 171302 (arXiv:gr-qc/0911.1020)
150. Mercati F et al 2010 Probing the quantum-gravity realm with slow atoms Class. Quantum Grav. 27 215003 (arXiv:gr-qc/1004.0847)
151. Kasevich M and Chu S 1991 Atomic interferometry using stimulated Raman transitions Phys. Rev. Lett. 67 181-4
152. Peters A, Chung K Y and Chu S 1999 Measurement of gravitational acceleration by dropping atoms Nature 400 849-52 (Pubitemid 29406715)
153. Wicht A, Hensley J M, Sarajlic E and Chu S 2006 A preliminary measurement of the fine structure constant based on atom interferometry Phys. Scr. 2002 82
154. Ellis J R, Farakos K, Mavromatos N E, Mitsou V A and Nanopoulos D V 2000 Astrophysical probes of the constancy of the velocity of light Astrophys. J. 535 139 (arXiv:astro-ph/9907340)
155. Ellis J R, Mavromatos N E, Nanopoulos D V, Sakharov A S and Sarkisyan E K G 2006 Robust limits on lorentz violation from gamma-ray bursts Astropart. Phys. 25 402-11 (arXiv:astro-ph/0510172)
156. Albert J et al 2007 Probing quantum gravity using photons from a Mkn 501 flare observed by MAGIC arXiv:astro-ph/0708.2889
157. Maccione L, Liberati S, Celotti A, Kirk J G and Ubertini P 2008 Gamma-ray polarization constraints on Planck scale violations of special relativity arXiv:astro-ph/0809.0220
158. Gleiser R J and Kozameh C N 2001 Astrophysical limits on quantum gravity motivated birefringence Phys. Rev. D 64 083007 (arXiv:gr-qc/0102093) (Pubitemid 33794866)
159. McMaster W H 1961 Matrix representation of polarization Rev. Mod. Phys. 33 8
160. Baccetti V, Tate K and Visser M 2011 Lorentz violating kinematics: threshold theorems arXiv:hep-ph/1111.6340
161. Gelmini G, Nussinov S and Yaguna C E 2005 On photon splitting in theories with Lorentz invariance violation J. Cosmol. Astropart. Phys. JCAP0506(2005)012 (arXiv:hep-ph/0503130)
162. Kluzniak W 1999 Transparency of the universe to TeV photons in some models of quantum gravity Astropart. Phys. 11 117-8 (Pubitemid 129315821)
163. Jacobson T, Liberati S and Mattingly D 2003 Lorentz violation and crab synchrotron emission: a new constraint far beyond the planck scale Nature 424 1019-21 (arXiv:astro-ph/0212190) (Pubitemid 37064296)
164. Montemayor R and Urrutia L F 2005 Synchrotron radiation in Myers-Pospelov effective electrodynamics Phys. Lett. B 606 86-94 (arXiv:hep-ph/0410143) (Pubitemid 40148590)
165. Montemayor R and Urrutia L F 2005 Synchrotron radiation in Lorentz-violating electrodynamics: the Myers-Pospelov model Phys. Rev. D 72 045018 (arXiv:hep-ph/0505135)
166. Altschul B 2006 Synchrotron and inverse Compton constraints on Lorentz violations for electrons Phys. Rev. D 74 083003 (arXiv:hep-ph/0608332) (Pubitemid 44511811)
167. Maccione L, Liberati S, Celotti A and Kirk J G 2007 New constraints on Planck-scale Lorentz violation in qed from the Crab Nebula J. Cosmol. Astropart. Phys. 07(2007)013 (arXiv:astro-ph/0707.2673)
168. Liberati S, Maccione L and Sotiriou T P 2012 Scale hierarchy in Horava-Lifshitz gravity: a strong constraint from synchrotron radiation in the Crab Nebula Phys. Rev. Lett. 109 151602 (arXiv:gr-qc/1207.0670)
169. Foster B Z and Jacobson T 2006 Post-Newtonian parameters and constraints on Einstein-aether theory Phys. Rev. D 73 064015 (arXiv:gr-qc/0509083)
170. Will C M 2006 The confrontation between general relativity and experiment Living Rev. Rel. 9 3 (arXiv:gr-qc/0510072)
171. Jacobson T and Mattingly D 2004 Einstein-aether waves Phys. Rev. D 70 024003 (arXiv:gr-qc/0402005) (Pubitemid 44947232)
172. Elliott J W, Moore G D and Stoica H 2005 Constraining the new aether: gravitational cherenkov radiation J. High Energy Phys. JHEP08(2005)066 (arXiv:hep-ph/0505211)
173. Heckel B R et al 2008 Preferred-frame and CP-violation tests with polarized electrons Phys. Rev. D 78 092006 (arXiv:hep-ex/0808.2673)
174. Aharonian F et al 2004 The crab nebula and pulsar between 500-GeV and 80-TeV: observations with the HEGRA stereoscopic air cherenkov telescopes Astrophys. J. 614 897-913 (arXiv:astro-ph/0407118) (Pubitemid 39604677)
175. Altschul B 2007 Bounds on spin-dependent Lorentz violation from inverse Compton observations Phys. Rev. D 75 041301 (arXiv:hep-ph/0612288)
176. Klinkhamer F R and Schreck M 2008 New two-sided bound on the isotropic Lorentz-violating parameter of modified-Maxwell theory Phys. Rev. D 78 085026 arXiv:hep-ph/0809.3217
177. Kennel C F and Coroniti F V 1984 Confinement of the crab pulsar's wind by its supernova remnant Astrophys. J. 283 694
178. Dean A J, Clark D J, Stephen J B, McBride V A, Bassani L, Bazzano A, Bird A J, Hill A B, Shaw S E and Ubertini P 2008 Polarized gamma-ray emission from the Crab Science 321 1183
179. Forot M, Laurent P, Grenier I A, Gouiffes C and Lebrun F 2008 Polarization of the Crab pulsar and nebula as observed by the integral/IBIS telescope arXiv:astro-ph/0809.1292
180. Mitrofanov I G 2003 Astrophysics (communication arising): a constraint on canonical quantum gravity? Nature 426 139 (Pubitemid 37442573)
181. Stecker F W 2011 A new limit on Planck scale Lorentz violation from gamma-ray burst polarization Astropart. Phys. 35 95-97 arXiv:astro-ph.HE/1102. 2784
182. Laurent P, Gotz D, Binetruy P, Covino S and Fernandez-Soto A 2011 Constraints on Lorentz invariance violation using INTEGRAL/IBIS observations of GRB041219A arXiv:astro-ph.HE/1106.1068
183. Toma K et al 2012 Strict limit on CPT violation from polarization of gamma-ray burst Phys. Rev. Lett. 109 241104 (arXiv:astro-ph.HE/1208.5288)
184. Gotz D, Covino S, Fernandez-Soto A, Laurent P and Bosnjak Z 2013 The polarized gamma ray burst GRB 061122 arXiv:1303.4186
185. Abraham J et al 2007 Correlation of the highest energy cosmic rays with nearby extragalactic objects Science 318 938-43 (arXiv:astro-ph/0711.2256) (Pubitemid 350098983)
186. Galaverni M and Sigl G 2008 Lorentz violation in the photon sector and ultra-high energy cosmic rays Phys. Rev. Lett. 100 021102 (arXiv:astro-ph/0708. 1737)
187. Maccione L and Liberati S 2008 GZK photon constraints on Planck scale Lorentz violation in QED J. Cosmol. Astropart. Phys. JCAP0808(2008)027 (arXiv:astro-ph/0805.2548)
188. Gelmini G, Kalashev O and Semikoz D V 2005 GZK Photons as ultra high energy cosmic rays arXiv:astro-ph/0506128
189. Abraham J et al 2008 Upper limit on the cosmic-ray photon flux above 10**19 eV using the surface detector of the Pierre Auger Observatory Astropart. Phys. 29 243-56 (arXiv:astro-ph/0712.1147)
190. Rubtsov G I et al 2006 Upper limit on the ultra-high-energy photon flux from AGASA and Yakutsk data Phys. Rev. D 73 063009 (arXiv:astro-ph/0601449)
191. Kampert K-H 2012 Highlights from the Pierre Auger Observatory arXiv:astro-ph.HE/1207.4823
192. Galaverni M and Sigl G 2008 Lorentz violation and ultrahigh-energy photons Phys. Rev. D 78 063003 arXiv:astro-ph/0807.1210
193. Liberati S and Maccione L 2009 Lorentz violation: motivation and new constraints Ann. Rev. Nucl. Part. Sci. 59 245-67 (arXiv:astro-ph.HE/0906.0681)
194. Aloisio R, Blasi P, Ghia P L and Grillo A F 2000 Probing the structure of space-time with cosmic rays Phys. Rev. D 62 053010 (arXiv:astro-ph/0001258) (Pubitemid 40657220)
195. Alfaro J and Palma G 2003 Loop quantum gravity and ultra high energy cosmic rays Phys. Rev. D 67 083003 (arXiv:hep-th/0208193)
196. Scully S T and Stecker F W 2009 Lorentz invariance violation and the observed spectrum of ultrahigh energy cosmic rays Astropart. Phys. 31 220-5 (arXiv:astro-ph/0811.2230)
197. Stecker F W and Scully S T 2009 Searching for new physics with ultrahigh energy cosmic rays New J. Phys. 11 085003 (arXiv:astro-ph.HE/0906.1735)
198. Maccione L, Taylor A M, Mattingly D M and Liberati S 2009 Planck-scale Lorentz violation constrained by ultra-high-energy cosmic rays J. Cosmol. Astropart. Phys. JCAP0904(2009)022 (arXiv:astro-ph.HE/0902.1756)
199. 18 eV Phys. Rev. Lett. 104 091101 (arXiv:astro-ph.HE/1002.0699)
200. Glushkov A V et al 2008 Muon content of ultrahigh-energy air showers: Yakutsk data versus simulations JETP Lett. 87 190-4 (arXiv:astro-ph/0710.5508)
201. Ikeda D 2012 Recent results from telescope array J. Phys.: Conf. Ser. 375 052007
202. Abu-Zayyad T et al 2012 Search for anisotropy of ultra-high energy cosmic rays with the telescope array experiment Astrophys. J. 757 26 (arXiv:astro-ph.HE/1205.5984)
203. Hooper D, Taylor A M and Sarkar S 2011 Cosmogenic photons as a test of ultra-high energy cosmic ray composition Astropart. Phys. 34 340-3 (arXiv:astro-ph.HE/1007.1306)
204. Saveliev A, Maccione L and Sigl G 2011 Lorentz invariance violation and chemical composition of ultra high energy cosmic rays J. Cosmol. Astropart. Phys. JCAP1103(2011)046 (arXiv:astro-ph.HE/1101.2903)
205. Rubtsov G, Satunin P and Sibiryakov S 2012 On calculation of cross sections in Lorentz violating theories Phys. Rev. D 86 085012 (arXiv:1204.5782)
206. Satunin P 2013 Width of photon decay in magnetic field: elementary semiclassical derivation and sensitivity to Lorentz violation arXiv:1301.5707
207. Rubtsov G, Satunin P and Sibiryakov S Paper in preparation
208. Stodolsky L 1988 The speed of light and the speed of neutrinos Phys. Lett. B 201 353
209. Longo M J 1988 New precision tests of the Einstein equivalence principle from SN1987A Phys. Rev. Lett. 60 173
210. Ellis J R, Harries N, Meregaglia A, Rubbia A and Sakharov A 2008 Probes of Lorentz violation in neutrino propagation Phys. Rev. D 78 033013 (arXiv:hep-ph/0805.0253)
211. Sakharov A, Ellis J, Harries N, Meregaglia A and Rubbia A 2009 Exploration of possible quantum gravity effects with neutrinos: II. Lorentz violation in neutrino propagation J. Phys.: Conf. Ser. 171 012039 (arXiv:hep-ph/0903.5048)
212. Kelley J L 2009 Searching for quantum gravity with high energy atmospheric neutrinos and AMANDA-II Nucl. Phys. A 827 507C-9C
213. Gonzalez-Garcia M C and Maltoni M 2004 Atmospheric neutrino oscillations and new physics Phys. Rev. D 70 033010 (arXiv:hep-ph/0404085) (Pubitemid 44972683)
214. Huelsnitz W and Kelley J 2009 Search for quantum gravity with IceCube and high energy atmospheric neutrinos
215. Abbasi R et al 2010 Search for a Lorentz-violating sidereal signal with atmospheric neutrinos in IceCube Phys. Rev. D 82 112003 (arXiv:astro-ph.HE/1010. 4096)
216. Carmona J M, Cortes J L and Mazon D 2012 Uncertainties in constraints
217. Mattingly D M, Maccione L, Galaverni M, Liberati S and Sigl G 2010 Possible cosmogenic neutrino constraints on Planck-scale Lorentz violation J. Cosmol. Astropart. Phys. JCAP1002(2010)007 (arXiv:hep-ph/0911.0521)
218. Barwick Steven W 2007 ARIANNA: a new concept for UHE neutrino detection J. Phys.: Conf. Ser. 60 276-83 (arXiv:astro-ph/0610631)
219. Ward B F L 2012 On estimates of radiation by superluminal neutrinos arXiv:hep-ph/1201.1322
220. Bi X-J, Yin P-F, Yu Z-H and Yuan Q 2011 Constraints and tests of the OPERA superluminal neutrinos Phys. Rev. Lett. 107 241802 (arXiv:hep-ph/1109. 6667)
221. Cowsik R, Madziwa-Nussinov T, Nussinov S and Sarkar U 2012 Testing violations of Lorentz invariance with cosmic-rays Phys. Rev. D 86 045024 (arXiv:hep-ph/1206.0713)
222. Adam T et al 2012 Measurement of the neutrino velocity with the OPERA detector in the CNGS beam J. High Energy Phys. JHEP1210(2012)093 (arXiv:hep-ex/1109.4897)
223. Adamson P et al 2007 Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam Phys. Rev. D 76 072005 (arXiv:hep-ex/0706.0437)
224. Yao W M et al 2006 Review of particle physics J. Phys. G: Nucl. Part. Phys. 33 1-1232
225. Shomer A 2007 A Pedagogical explanation for the non-renormalizability of gravity arXiv:hep-th/0709.3555
226. Ellis J R, Mavromatos N E and Nanopoulos D V 1992 String theory modifies quantum mechanics Phys. Lett. B 293 37-48 (arXiv:hep-th/9207103)
227. Polchinski J 1996 Tasi lectures on D-branes p 293-356 (arXiv:hep-th/9611050)
228. Ellis J R, Mavromatos N E, Nanopoulos D V and Sakharov A S 2004 Space-time foam may violate the principle of equivalence Int. J. Mod. Phys. A 19 4413-30 (arXiv:gr-qc/0312044)
229. Maccione L, Liberati S and Sigl G 2010 Ultra high energy photons as probes of Lorentz symmetry violations in stringy space-time foam models Phys. Rev. Lett. 105 021101 (arXiv:astro-ph.HE/1003.5468)
230. Ellis J, Mavromatos N E and Nanopoulos D V 2010 Comments on ultra-high-energy photons and D-foam models Phys. Lett. B 694 61-64 (arXiv:astro-ph.HE/1004.4167)
231. Cohen A G and Glashow S L 2006 Very special relativity Phys. Rev. Lett. 97 021601 (arXiv:hep-ph/0601236) (Pubitemid 44050352)
232. Bogoslovsky G Y 2005 Subgroups of the group of generalized Lorentz transformations and their geometric invariants arXiv:math-ph/0511077
233. Bogoslovsky G Y 2006 Lorentz symmetry violation without violation of relativistic symmetry Phys. Lett. A 350 5-10 (arXiv:hep-th/0511151) (Pubitemid 43087660)
234. Gibbons G W, Gomis J and Pope C N 2007 General very special relativity is Finsler geometry Phys. Rev. D 76 081701
235. Freidel L, Kowalski-Glikman J and Smolin L 2004 2+1 gravity and doubly special relativity Phys. Rev. D 69 044001 (arXiv:hep-th/0307085) (Pubitemid 44643180)
236. Freidel L and Kowalski-Glikman J 2007 Kappa-Minkowski space, scalar field, and the issue of Lorentz invariance arXiv:hep-th/0710.2886
237. Girelli F 2006 For a 5 dimensional approach to deformed special relativity J. Phys.: Conf. Ser. 33 315-20 (Pubitemid 43536302)
238. Smolin L 2008 Could deformed special relativity naturally arise from the semiclassical limit of quantum gravity? arXiv:hep-th/0808.3765
239. Rovelli C 2008 A note on DSR arXiv:gr-qc/0808.3505
240. Amelino-Camelia G, Freidel L, Kowalski-Glikman J and Smolin L 2011 Relative locality and the soccer ball problem Phys. Rev. D 84 087702 (arXiv:hep-th/1104.2019)
241. Hossenfelder S 2012 Comment on 'Relative locality and the soccer ball problem', by Amelino-Camelia et al arXiv:hep-th/1202.4066
242. Amelino-Camelia G, Gubitosi G, Loret N, Mercati F and Rosati G 2012 Weakness of accelerator bounds on electron superluminality without a preferred frame Europhys. Lett. 99 21001 (arXiv:hep-ph/1111.0993)
243. Dowker F 2011 Spacetime discreteness, Lorentz invariance and locality J. Phys.: Conf. Ser. 306 012016