Abstract
We reconsider Lorentz Violation (LV) at the fundamental level. We argue that Lorentz Violation is intimately connected with gravity and that LV couplings in QFT must always be fields in a gravitational sector. Diffeomorphism covariance, implementing general charnges of frame, is intact and the LV couplings transform as tensors under coordinate/frame changes. Therefore searching for LV is one of the most sensitive ways of looking for new physics, either new interactions or modifications of known ones. Energy dissipation/Cerenkov radiation is shown to be a generic feature of LV in QFT. A general computation is done in strongly coupled theories with gravity duals. It is shown that in scale invariant regimes, the energy dissipation rate depends non-trivially on two characteristic exponents, the Lifshitz exponent and the hyperscaling violation exponent.
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References
D. Mattingly, Modern tests of Lorentz invariance, Living Rev. Rel. 8 (2005) 5 [gr-qc/0502097] [INSPIRE].
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] [INSPIRE].
M. Nagano and A.A. Watson, Observations and implications of the ultrahigh-energy cosmic rays, Rev. Mod. Phys. 72 (2000) 689 [INSPIRE].
M. Smiciklas, J.M. Brown, L.W. Cheuk and M.V. Romalis, A new test of local Lorentz invariance using 21 Ne-Rb-K comagnetometer, Phys. Rev. Lett. 107 (2011) 171604 [arXiv:1106.0738] [INSPIRE].
S. Chadha and H.B. Nielsen, Lorentz invariance as a low-energy phenomenon, Nucl. Phys. B 217 (1983) 125 [INSPIRE].
H.B. Nielsen and M. Ninomiya, β-function in a noncovariant Yang-Mills theory, Nucl. Phys. B 141 (1978) 153 [INSPIRE].
J. Iliopoulos, D.V. Nanopoulos and T.N. Tomaras, Infrared stability or anti grand unification, Phys. Lett. B 94 (1980) 141 [INSPIRE].
V.A. Kostelecky and S. Samuel, Spontaneous breaking of Lorentz symmetry in string theory, Phys. Rev. D 39 (1989) 683 [INSPIRE].
A. Sen, Tachyon dynamics in open string theory, Int. J. Mod. Phys. A 20 (2005) 5513 [hep-th/0410103] [INSPIRE].
D. Colladay and V.A. Kostelecky, CPT violation and the standard model, Phys. Rev. D 55 (1997) 6760 [hep-ph/9703464] [INSPIRE].
D. Colladay and V.A. Kostelecky, Lorentz violating extension of the standard model, Phys. Rev. D 58 (1998) 116002 [hep-ph/9809521] [INSPIRE].
S.R. Coleman and S.L. Glashow, Cosmic ray and neutrino tests of special relativity, Phys. Lett. B 405 (1997) 249 [hep-ph/9703240] [INSPIRE].
S.R. Coleman and S.L. Glashow, Evading the GZK cosmic ray cutoff, hep-ph/9808446 [INSPIRE].
S.R. Coleman and S.L. Glashow, High-energy tests of Lorentz invariance, Phys. Rev. D 59 (1999) 116008 [hep-ph/9812418] [INSPIRE].
G. Amelino-Camelia et al., Tests of quantum gravity from observations of γ-ray bursts, Nature 393 (1998) 763 [astro-ph/9712103] [INSPIRE].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
E. Kiritsis, Supergravity, D-brane probes and thermal super Yang-Mills: a comparison, JHEP 10 (1999) 010 [hep-th/9906206] [INSPIRE].
G.W. Gibbons and C.A.R. Herdeiro, Born-Infeld theory and stringy causality, Phys. Rev. D 63 (2001) 064006 [hep-th/0008052] [INSPIRE].
D.J.H. Chung and K. Freese, Can geodesics in extra dimensions solve the cosmological horizon problem?, Phys. Rev. D 62 (2000) 063513 [hep-ph/9910235] [INSPIRE].
E. Kiritsis, unpublished (1999).
S.H.S. Alexander, On the varying speed of light in a brane induced FRW universe, JHEP 11 (2000) 017 [hep-th/9912037] [INSPIRE].
C. Burgess, P. Martineau, F. Quevedo and R. Rabadán, Branonium, JHEP 06 (2003) 037 [hep-th/0303170] [INSPIRE].
E. Kiritsis, D-branes in standard model building, gravity and cosmology, Phys. Rept. 421 (2005) 105 [Erratum ibid. 429 (2006) 121] [hep-th/0310001v2] [INSPIRE].
E. Kiritsis, D-branes in standard model building, gravity and cosmology, Fortsch. Phys. 52 (2004) 200 [hep-th/0310001v1] [INSPIRE].
I. Antoniadis, E. Kiritsis and T.N. Tomaras, A D-brane alternative to unification, Phys. Lett. B 486 (2000) 186 [hep-ph/0004214] [INSPIRE].
I. Antoniadis, E. Kiritsis and T.N. Tomaras, D-brane standard model, Fortsch. Phys. 49 (2001) 573 [hep-th/0111269] [INSPIRE].
I. Antoniadis, E. Kiritsis, J. Rizos and T.N. Tomaras, D-branes and the standard model, Nucl. Phys. B 660 (2003) 81 [hep-th/0210263] [INSPIRE].
K.R. Dienes, E. Dudas and T. Gherghetta, Neutrino oscillations without neutrino masses or heavy mass scales: a higher dimensional seesaw mechanism, Nucl. Phys. B 557 (1999) 25 [hep-ph/9811428] [INSPIRE].
N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali and J. March-Russell, Neutrino masses from large extra dimensions, Phys. Rev. D 65 (2002) 024032 [hep-ph/9811448] [INSPIRE].
C. Csáki, J. Erlich and C. Grojean, Gravitational Lorentz violations and adjustment of the cosmological constant in asymmetrically warped space-times, Nucl. Phys. B 604 (2001) 312 [hep-th/0012143] [INSPIRE].
C. Grojean, F. Quevedo, G. Tasinato and I. Zavala, Branes on charged dilatonic backgrounds: selftuning, Lorentz violations and cosmology, JHEP 08 (2001) 005 [hep-th/0106120] [INSPIRE].
A. Kehagias and E. Kiritsis, Mirage cosmology, JHEP 11 (1999) 022 [hep-th/9910174] [INSPIRE].
P. Kraus, Dynamics of Anti-de Sitter domain walls, JHEP 12 (1999) 011 [hep-th/9910149] [INSPIRE].
S.S. Gubser, Time warps, JHEP 01 (2010) 020 [arXiv:0812.5107] [INSPIRE].
M. Taylor, Non-relativistic holography, arXiv:0812.0530 [INSPIRE].
C. Charmousis, B. Gouteraux, B.S. Kim, E. Kiritsis and R. Meyer, Effective Holographic Theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690] [INSPIRE].
B. Gouteraux and E. Kiritsis, Generalized holographic quantum criticality at finite density, JHEP 12 (2011) 036 [arXiv:1107.2116] [INSPIRE].
D. Anselmi and M. Halat, Renormalization of Lorentz violating theories, Phys. Rev. D 76 (2007) 125011 [arXiv:0707.2480] [INSPIRE].
D. Anselmi, Standard model without elementary scalars and high energy Lorentz violation, Eur. Phys. J. C 65 (2010) 523 [arXiv:0904.1849] [INSPIRE].
A. Dhar, G. Mandal and S.R. Wadia, Asymptotically free four-Fermi theory in 4 dimensions at the z = 3 Lifshitz-like fixed point, Phys. Rev. D 80 (2009) 105018 [arXiv:0905.2928] [INSPIRE].
P. Hořava, Quantum gravity at a Lifshitz point, Phys. Rev. D 79 (2009) 084008 [arXiv:0901.3775] [INSPIRE].
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] [INSPIRE].
E. Kiritsis and G. Kofinas, Hořava-Lifshitz cosmology, Nucl. Phys. B 821 (2009) 467 [arXiv:0904.1334] [INSPIRE].
S. Mukohyama, Scale-invariant cosmological perturbations from Hořava-Lifshitz gravity without inflation, JCAP 06 (2009) 001 [arXiv:0904.2190] [INSPIRE].
S. Mukohyama, Hořava-Lifshitz cosmology: a review, Class. Quant. Grav. 27 (2010) 223101 [arXiv:1007.5199] [INSPIRE].
D. Blas, O. Pujolàs and S. Sibiryakov, Models of non-relativistic quantum gravity: the good, the bad and the healthy, JHEP 04 (2011) 018 [arXiv:1007.3503] [INSPIRE].
OPERA collaboration, T. Adam et al., Measurement of the neutrino velocity with the OPERA detector in the CNGS beam, JHEP 10 (2012) 093 [arXiv:1109.4897] [INSPIRE].
J. Alspector et al., Experimental comparison of neutrino and muon velocities at Fermilab, Phys. Rev. Lett. 36 (1976) 837 [INSPIRE].
G.R. Kalbfleisch, N. Baggett, E.C. Fowler and J. Alspector, Experimental comparison of neutrino, anti-neutrino, and muon velocities, Phys. Rev. Lett. 43 (1979) 1361 [INSPIRE].
MINOS collaboration, P. Adamson et al., Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam, Phys. Rev. D 76 (2007) 072005 [arXiv:0706.0437] [INSPIRE].
M.J. Longo, Tests of relativity from SN1987a, Phys. Rev. D 36 (1987) 3276 [INSPIRE].
M. Dracos, Measurement of the neutrino velocity in OPERA, talk given at the Neutrino 2012 conference, June 9-13, Kyoto, Japan (2012).
S. Bertolucci, Review of other experiments at Gran Sasso, talk given at the Neutrino 2012 conference, June 9-13, Kyoto, Japan (2012).
S. Groot Nibbelink and M. Pospelov, Lorentz violation in supersymmetric field theories, Phys. Rev. Lett. 94 (2005) 081601 [hep-ph/0404271] [INSPIRE].
O. Pujolàs and S. Sibiryakov, Supersymmetric aether, JHEP 01 (2012) 062 [arXiv:1109.4495] [INSPIRE].
E. Kiritsis, Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals, JHEP 11 (2006) 049 [hep-th/0608088] [INSPIRE].
E. Kiritsis and V. Niarchos, (Multi)Matrix models and interacting clones of Liouville gravity, JHEP 08 (2008) 044 [arXiv:0805.4234] [INSPIRE].
E. Kiritsis and V. Niarchos, Interacting String Multi-verses and Holographic Instabilities of Massive Gravity, Nucl. Phys. B 812 (2009) 488 [arXiv:0808.3410] [INSPIRE].
H. Osborn and A.C. Petkou, Implications of conformal invariance in field theories for general dimensions, Annals Phys. 231 (1994) 311 [hep-th/9307010] [INSPIRE].
J.M. Cornwall, R. Jackiw and E. Tomboulis, Effective action for composite operators, Phys. Rev. D 10 (1974) 2428 [INSPIRE].
R. Casero, E. Kiritsis and A. Paredes, Chiral symmetry breaking as open string tachyon condensation, Nucl. Phys. B 787 (2007) 98 [hep-th/0702155] [INSPIRE].
M. Jarvinen and E. Kiritsis, Holographic models for QCD in the Veneziano limit, JHEP 03 (2012) 002 [arXiv:1112.1261] [INSPIRE].
G. Barnich and M. Henneaux, Consistent couplings between fields with a gauge freedom and deformations of the master equation, Phys. Lett. B 311 (1993) 123 [hep-th/9304057] [INSPIRE].
S. Deser, Selfinteraction and gauge invariance, Gen. Rel. Grav. 1 (1970) 9 [gr-qc/0411023] [INSPIRE].
M. Porrati, Higgs phenomenon for the graviton in AdS space, Mod. Phys. Lett. A 18 (2003) 1793 [hep-th/0306253] [INSPIRE].
M.J. Duff, Twenty years of the Weyl anomaly, Class. Quant. Grav. 11 (1994) 1387 [hep-th/9308075] [INSPIRE].
J. McGreevy and H.L. Verlinde, Strings from tachyons: the c = 1 matrix reloaded, JHEP 12 (2003) 054 [hep-th/0304224] [INSPIRE].
R. Brustein and S. P.De Alwis, Renormalization group equation and nonperturbative effects in string field theory, Nucl. Phys. B 352 (1991) 451 [INSPIRE].
J.P. Derendinger, S. Ferrara, C. Kounnas and F. Zwirner, On loop corrections to string effective field theories: Field dependent gauge couplings and σ-model anomalies, Nucl. Phys. B 372 (1992) 145 [INSPIRE].
J. Khoury and H.L. Verlinde, On open-closed string duality, Adv. Theor. Math. Phys. 3 (1999) 1893 [hep-th/0001056] [INSPIRE].
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] [INSPIRE].
N. Arkani-Hamed, H.-C. Cheng, M. Luty and J. Thaler, Universal dynamics of spontaneous Lorentz violation and a new spin-dependent inverse-square law force, JHEP 07 (2005) 029 [hep-ph/0407034] [INSPIRE].
V.A. Kostelecky, Gravity, Lorentz violation and the standard model, Phys. Rev. D 69 (2004) 105009 [hep-th/0312310] [INSPIRE].
R. Bluhm, S.-H. Fung and V.A. Kostelecky, Spontaneous Lorentz and diffeomorphism violation, massive modes and gravity, Phys. Rev. D 77 (2008) 065020 [arXiv:0712.4119] [INSPIRE].
N. Seiberg and E. Witten, String theory and noncommutative geometry, JHEP 09 (1999) 032 [hep-th/9908142] [INSPIRE].
D. Andriot, O. Hohm, M. Larfors, D. Lüst and P. Patalong, Non-geometric fluxes in supergravity and double field theory, Fortsch. Phys. 60 (2012) 1150 [arXiv:1204.1979] [INSPIRE].
E. Kiritsis, Introduction to nonperturbative string theory, in La Plata 1997, Trends in theoretical physics, H. Falomir et al. eds., American Institute of Physics, U.S.A. (1997), hep-th/9708130 [INSPIRE].
A.A. Abrikosov, Fundamentals of the theory of metals, North Holland, The Netherlands (1988).
M. Mucha-Kruczynski, I.L. Aleiner and V.I. Fal’Ko, Landau levels in deformed bilayer graphene at low magnetic fields, Solid State Commun. 151 (2011) 1088 [arXiv:1109.3348].
T. Griffin, P. Hořava and C.M. Melby-Thompson, Conformal Lifshitz gravity from holography, JHEP 05 (2012) 010 [arXiv:1112.5660] [INSPIRE].
M. Baggio, J. de Boer and K. Holsheimer, Anomalous breaking of anisotropic scaling symmetry in the quantum Lifshitz model, JHEP 07 (2012) 099 [arXiv:1112.6416] [INSPIRE].
W. Chemissany, D. Geissbuhler, J. Hartong and B. Rollier, Holographic Renormalization for z = 2 Lifshitz space-times from AdS, Class. Quant. Grav. 29 (2012) 235017 [arXiv:1205.5777] [INSPIRE].
D. Blas, O. Pujolàs and S. Sibiryakov, On the extra mode and inconsistency of Hořava gravity, JHEP 10 (2009) 029 [arXiv:0906.3046] [INSPIRE].
T. Jacobson, Extended Hořava gravity and Einstein-aether theory, Phys. Rev. D 81 (2010) 101502 [Erratum ibid. D 82 (2010) 129901] [arXiv:1001.4823] [INSPIRE].
E. Kiritsis, Spherically symmetric solutions in modified Hořava-Lifshitz gravity, Phys. Rev. D 81 (2010) 044009 [arXiv:0911.3164] [INSPIRE].
G. Dvali and A. Vikman, Price for environmental neutrino-superluminality, JHEP 02 (2012) 134 [arXiv:1109.5685] [INSPIRE].
A. Kehagias, Relativistic superluminal neutrinos, arXiv:1109.6312 [INSPIRE].
R.C. Myers and M. Pospelov, Ultraviolet modifications of dispersion relations in effective field theory, Phys. Rev. Lett. 90 (2003) 211601 [hep-ph/0301124] [INSPIRE].
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] [INSPIRE].
S.S. Gubser, Superluminal neutrinos and extra dimensions: Constraints from the null energy condition, Phys. Lett. B 705 (2011) 279 [arXiv:1109.5687] [INSPIRE].
T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces and AdS 2, Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].
B.S. Kim, E. Kiritsis and C. Panagopoulos, Holographic quantum criticality and strange metal transport, New J. Phys. 14 (2012) 043045 [arXiv:1012.3464] [INSPIRE].
U. Gürsoy, E. Kiritsis, G. Michalogiorgakis and F. Nitti, Thermal transport and drag force in improved holographic QCD, JHEP 12 (2009) 056 [arXiv:0906.1890] [INSPIRE].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Langevin diffusion of heavy quarks in non-conformal holographic backgrounds, JHEP 12 (2010) 088 [arXiv:1006.3261] [INSPIRE].
I. Fuini, John F. and A. Karch, Energy loss calculations of moving defects for general holographic metrics, Phys. Rev. D 85 (2012) 066006 [arXiv:1112.2747] [INSPIRE].
S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].
P. Anastasopoulos, T. Dijkstra, E. Kiritsis and A. Schellekens, Orientifolds, hypercharge embeddings and the standard model, Nucl. Phys. B 759 (2006) 83 [hep-th/0605226] [INSPIRE].
J.D. Jackson, Classical electrodynamics, Willey, U.S.A. (1962).
G.D. Moore and A.E. Nelson, Lower bound on the propagation speed of gravity from gravitational Cherenkov radiation, JHEP 09 (2001) 023 [hep-ph/0106220] [INSPIRE].
J.W. Elliott, G.D. Moore and H. Stoica, Constraining the new aether: gravitational Cerenkov radiation, JHEP 08 (2005) 066 [hep-ph/0505211] [INSPIRE].
A.G. Cohen and S.L. Glashow, Pair creation constrains superluminal neutrino propagation, Phys. Rev. Lett. 107 (2011) 181803 [arXiv:1109.6562] [INSPIRE].
S.S. Gubser, S.S. Pufu, F.D. Rocha and A. Yarom, Energy loss in a strongly coupled thermal medium and the gauge-string duality, arXiv:0902.4041 [INSPIRE].
E. Kiritsis, L. Mazzanti and F. Nitti, Dressed spectral densities for heavy quark diffusion in holographic plasmas, J. Phys. G 39 (2012) 054003 [arXiv:1111.1008] [INSPIRE].
J. Casalderrey-Solana and D. Teaney, Transverse momentum broadening of a fast quark in a N =4 Yang-Mills plasma, JHEP 04 (2007) 039[hep-th/0701123] [INSPIRE].
E. Kiritsis, L. Mazzanti and F. Nitti, Langevin diffusion in confining media, to appear.
J. Casalderrey-Solana, D. Fernandez and D. Mateos, Cherenkov mesons as in-medium quark energy loss, JHEP 11 (2010) 091 [arXiv:1009.5937] [INSPIRE].
E. Kiritsis and G. Pavlopoulos, Heavy quarks in a magnetic field, JHEP 04 (2012) 096 [arXiv:1111.0314] [INSPIRE].
J. de Boer, V.E. Hubeny, M. Rangamani and M. Shigemori, Brownian motion in AdS/CFT, JHEP 07 (2009) 094 [arXiv:0812.5112] [INSPIRE].
D.T. Son and D. Teaney, Thermal noise and stochastic strings in AdS/CFT, JHEP 07 (2009) 021 [arXiv:0901.2338] [INSPIRE].
H. Kleinert, Path integrals in quantum mechanics, statistics, polymer physics, and Financial Markets, World Scientific, Singapore (2004) [INSPIRE].
R.P. Feynman and F.L. Vernon, The theory of a general quantum system interacting with a linear dissipative system, Annals Phys. 24 (1963) 118 [Annals Phys. 281 (2000) 547] [INSPIRE].
E. Kiritsis, Dissecting the string theory dual of QCD, Fortsch. Phys. 57 (2009) 396 [arXiv:0901.1772] [INSPIRE].
K.B. Fadafan, Drag force in asymptotically Lifshitz spacetimes, arXiv:0912.4873 [INSPIRE].
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Kiritsis, E. Lorentz violation, gravity, dissipation and holography. J. High Energ. Phys. 2013, 30 (2013). https://doi.org/10.1007/JHEP01(2013)030
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DOI: https://doi.org/10.1007/JHEP01(2013)030