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arXiv · 1508.05338

Low energy Lorentz violation from modified dispersion at high energies

Viqar Husain·Jorma Louko
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Abstract

Many quantum theories of gravity propose Lorentz violating dispersion relations of the form $ω= |k|\, f(|k|/M)$, with recovery of approximate Lorentz invariance at energy scales much below $M$. We show that a quantum field with this dispersion predicts drastic low energy Lorentz violation in atoms modelled as Unruh-DeWitt detectors, for any $f$ that dips below unity somewhere. As an example, we show that polymer quantization motivated by loop quantum gravity predicts such Lorentz violation below current ion collider rapidities.

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Viqar Husain, Jorma Louko. 2016-02-11. Low energy Lorentz violation from modified dispersion at high energies. https://doi.org/10.1103/physrevlett.116.061301

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