Lorentz violation in Hořava-Lifshitz-type theories

Pospelov, Maxim; Shang, Yanwen

doi:10.1103/physrevd.85.105001

Cited by 139 publications

(204 citation statements)

References 77 publications

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“…The effective speed of light seen by matter interacting with HL gravity is studied in [13]. The Authors derive this effective speed seen by a scalar field and an Abelian gauge field, and compare these to measure Lorentz-symmetry violation.…”

Section: Introductionmentioning

confidence: 99%

Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity

Alexandre

Brister

2015

Phys. Rev. D

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We study how quantum fluctuations of the metric in covariant Hořava-Lifshitz gravity influence the propagation of classical fields (complex scalar and photon). The effective Lorentz-symmetry violation induced by the breaking of 4-dimensional diffeomorphism is then evaluated, by comparing the dressed dispersion relations for both external fields. The constraint of vanishing 3-dimensional Ricci scalar is imposed in the path integral, which therefore explicitly depends on two propagating gravitational degrees of freedom only. Because the matter fields are classical, the present model contains only logarithmic divergences. Furthermore, it imposes the characteristic Hořava-Lifshitz scale to be smaller than 10 10 GeV, if one wishes not to violate the current bounds on Lorentz symmetry violation.

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Section: Introductionmentioning

confidence: 99%

Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity

Alexandre

Brister

2015

Phys. Rev. D

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“…Observation of these or other effects of the Local Lorentz Invariance Violation (LLIV) may pave the way to a new, more general theory (see e.g. [12][13][14][15][16][17][18][19][20]). …”

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confidence: 99%

Effects of the Lorentz Invariance Violation on Coulomb Interactions in Nuclei and Atoms

Flambaum

Romalis

2017

Phys. Rev. Lett.

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Anisotropy in the speed of light that has been constrained by Michelson-Morley-type experiments also generates anisotropy in the Coulomb interactions. This anisotropy can manifest itself as an energy anisotropy in nuclear and atomic experiments. Here the experimental limits on Lorentz violation in 21 10 Ne are used to improve the limits on Lorentz symmetry violations in the photon sector, namely the anisotropy of the speed of light and the Coulomb interactions, by 7 orders of magnitude in comparison with previous experiments: the speed of light is isotropic to a part in 10 −28 .A special role in the foundation of the theory of relativity was played by the Michelson-Morley experiment searching for the anisotropy in the speed of light. Recent experiments found that the speed of light is isotropic at a level of 10 −17 − 10 −21 [1][2][3][4][5]. In Ref.[6] it was noted that this limit may be improved to the level of about 10 −29 using the NMR-type experiment [7]. Similar anisotropy in the maximal attainable speed for massive particles has been constrained for nucleons by NMR experiments ( see e.g. [7][8][9][10][11]) and for electrons using optical atomic transitions [4,5]. Observation of these or other effects of the Local Lorentz Invariance Violation (LLIV) may pave the way to a new, more general theory (see e.g. [12][13][14][15][16][17][18][19][20]).Violations of Lorentz symmetry in the photon sector are parametrized in the Standard Model Extension (SME) [20] by the tensor (k F )αβµν . In the presence of Lorentz violation, the Coulomb potential of a point charge becomes anisotropic [13] :whereare the tensor components characterizing the anisotropy in the Coulomb potential and n i = x i /r are the unit vectors along the radiusvector in the reference frame in which the components of the k F tensor are written.A nucleus that has a finite electric quadrupole moment in the absence of LLIV will exhibit a spatial energy anisotropy due to LLIV caused by the electrostatic interactions of the valence protons with the anisotropic Coulomb potential of the nuclear core. The shift of the electrostatic energy due to the LLIV correction in Eq. (1) can be written aswhere M ij is the nuclear tensor which we calculate here. Below we establish a proportionality relation between M ij and the experimental value of the nuclear electric quadrupole moment tensor Q, namely M ij = KQ ij . An estimate of the coefficient K allows us to provide estimates of the LLIV shifts for all nuclei and extract the limits on LLIV constants from corresponding experiments. We start from a simple analytical estimate of the proportionality coefficient K. To obtain the LLIV correction to the electrostatic potential of a finite size charge distribution one has to integrate Eq. (1) with a charge density distribution, and the result will not be a simple product of the unperturbed nuclear electrostatic potential Φ 0 (r) and the LLIV factor (1 + (κ DE ) ij n i n j /2). However, to clarify the dependence on the parameters of the problem it is instructive to start fro...

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“…Finally, let us emphasize that the existence of the strong-coupling mechanism for emergence of LI together with the previously known ones (based on a non-relativistic SUSY [10] and on a separation of scales [29]) opens up an interesting connection between particle physics phenomenology and non-relativistic gravity. Generally, avoiding the fine-tuning problems associated with fundamental LV will require some mechanism -some 'new physics' -operating down to a very low energy scale.…”

Section: Summary and Discussionmentioning

confidence: 99%

Emergent Lorentz invariance from holographic strong dynamics

Pujolàs

2014

AIP Conference Proceedings

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Abstract. We discuss the phenomenon of emergent Lorentz invariance in strongly coupled theories that admit a holographic gravity dual. The emergence of Lorentz invariance at low energies is reflected in the two-point functions of local operators and in the dispersion relations of the bound states. The deviations of these observables from the relativistic form at low energies are found to be naturally suppressed.

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Lorentz violation in Hořava-Lifshitz-type theories

Cited by 139 publications

References 77 publications

Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity

Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity

Effects of the Lorentz Invariance Violation on Coulomb Interactions in Nuclei and Atoms

Emergent Lorentz invariance from holographic strong dynamics

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