Lorentz violation, Gravity, Dissipation and Holography
arXiv:1207.2325 · doi:10.1007/JHEP01(2013)030
Abstract
We reconsider Lorentz Violation (LV) at the fundamental level. We show that Lorentz Violation is intimately connected with gravity and that LV couplings in QFT must always be fields in a gravitational sector. Diffeomorphism invariance must be 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-triviallly on two characteristic exponents, the Lifshitz exponent and the hyperscaling violation exponent.
LateX, 51 pages, 9 figures. (v2) References and comments added. Misprints corrected
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- Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
- Emergent Lorentz invariance from Strong Dynamics: Holographic examples
- Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
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- Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
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- Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
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- Non-local Geometry inside Lifshitz Horizon
- Graviton Propagation in an Asymmetric Warped Background: Lorentz Violation and the Null Energy Condition