title: Low Energy Lorentz Violation from Modified Dispersion at High Energies.
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 modeled 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.
authors.affiliation: Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3.
authors.forename: Viqar
authors.initials: V
authors.lastname: Husain
authors.affiliation: School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
authors.forename: Jorma
authors.initials: J
authors.lastname: Louko