Spontaneous Lorentz and diffeomorphism violation, massive modes, and gravity

Bluhm, Robert; Fung, Shu-Hong; Kostelecký, V. Alan

doi:10.1103/physrevd.77.065020

Cited by 192 publications

(279 citation statements)

References 159 publications

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“…differ from [73,74] but are in accordance with reference [71,72] that shares many common points with the discussion of this section.…”

Section: Jhep01(2013)030supporting

confidence: 69%

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Lorentz violation, gravity, dissipation and holography

Kiritsis

2013

J. High Energ. Phys.

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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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“…differ from [73,74] but are in accordance with reference [71,72] that shares many common points with the discussion of this section.…”

Section: Jhep01(2013)030supporting

confidence: 69%

“…Couplings of Lorentz violating theories to gravity were considered before, [71][72][73][74]. Our conclusions…”

Section: The Coupling To the Gravitational Sectorsupporting

confidence: 55%

Lorentz violation, gravity, dissipation and holography

Kiritsis

2013

J. High Energ. Phys.

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“…This model was also addressed in Refs. [76][77][78]. Some additional implications of this model on the Newtonian gravitational potential have been recently addressed in Ref.…”

Section: Introductionmentioning

confidence: 98%

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

et al. 2014

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In this work, we investigate the consequences of the spontaneous breaking of Lorentz symmetry, triggered by the bumblebee vector field, on the usual Einstein-Hilbert theory. Specifically, we consider the Einstein-Hilbert action modified by the bumblebee dynamic field, and evaluate the graviton propagator using an extended basis of Barnes-Rivers tensor projectors, involving the Lorentz-violating vector. Once the propagator is carried out, we proceed with discussing the consistency of the model, writing the dispersion relations, and analyzing causality and unitarity.We verify that this model possesses two dispersion relations: one provides causal and unitary propagating modes, while the second yields a causal but nonunitary mode which spoils the physical consistency of the model.

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“…Theories with a vector field and a potential of this type that induces spontaneous Lorentz violation are known as bumblebee models [5,15,64,65,66,67,68,69,71,70,72,73,74,75,76]. A defining feature of these theories is that they do not have local U(1) gauge invariance.…”

Section: Spontaneous Lorentz Violationmentioning

confidence: 99%

Observational Constraints on Local Lorentz Invariance

Bluhm

2014

Springer Handbooks

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The idea that local Lorentz invariance might be violated due to new physics that goes beyond the Standard Model of particle physics and Einstein's General Relativity has received a great deal of interest in recent years. At the same time, new experiments have been designed and conducted that are able to test Lorentz symmetry at unprecedented levels. Much of this theoretical and experimental progress has been driven by the development of the framework for investigating Lorentz violation known as the Standard Model Extension (SME). The SME is the lagrangian-based effective field theory that by definition contains all Lorentz-violating interaction terms that can be written as observer scalars involving particle fields in the Standard Model and gravitational fields in a generalized theory of gravity. This includes all terms that could arise from a process of spontaneous Lorentz violation as well as terms that explicitly break Lorentz symmetry. In this article, an overview of the SME is presented, including its motivations and construction. A very useful minimal version of the SME in Minkowski spacetime that maintains gauge invariance and power-counting renormalizability is constructed as well. Data tables summarizing tests of local Lorentz invariance for the different particle sectors in the Standard Model and with gravity are maintained by Kostelecký's group at Indiana University. A partial survey of these tests, including some of the high-precision sensitivities they attain, is presented here.

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Spontaneous Lorentz and diffeomorphism violation, massive modes, and gravity

Cited by 192 publications

References 159 publications

Lorentz violation, gravity, dissipation and holography

Lorentz violation, gravity, dissipation and holography

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

Observational Constraints on Local Lorentz Invariance

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