Low energy Lorentz violation from modified dispersion at high energies

Abstract

Many quantum theories of gravity propose Lorentz violating dispersion relations of the form $\omega =|k|f(|k|/M)$, 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.

5 pages, 3 figures. Revised with title change to emphasize generality of main result. Version to appear in Phys. Rev. Lett

References in corpus (8)

• The Unruh effect and its applications
• Quantum Nature of the Big Bang
• Wavepacket detection with the Unruh-DeWitt model
• Then again, how often does the Unruh-DeWitt detector click if we switch it carefully?
• Loop quantum cosmology: From pre-inflationary dynamics to observations
• Relativistic Quantum Information in Detectors-Field Interactions
• Entanglement in curved spacetimes and cosmology
• The propagator in polymer quantum field theory

Cited by in corpus (27)

• Modified Unruh effect from Generalized Uncertainty Principle
• The Unruh effect without thermality
• Lorentz violations in multifractal spacetimes
• Quantum Gravity signatures in the Unruh effect
• Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
• Path integral polymer propagator of relativistic and non-relativistic particles
• Low energy signatures of nonlocal field theories
• Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Low energy Lorentz violation from high energy modified dispersion in inertial and circular motion
• Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
• Effect of tidal curvature on dynamics of accelerated probes
• Response of a rotating detector coupled to a polymer quantized field
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• Polymer-Fourier quantization of the scalar field revisited
• Semiclassical cosmology with polymer matter
• Bounds on the Polymer Scale from Gamma Ray Bursts
• Polymer quantization and advanced gravitational wave detector
• Casimir Effect for Nonlocal Field Theories with Continuum Massive Modes
• Low Energy Lorentz Violation in Polymer Quantization Revisited
• Rescuing the Unruh Effect in Lorentz Violating Gravity
• Are accelerated detectors sensitive to Planck scale changes?
• Condensation of area quanta ensembles with quantum statistics in Schwarzschild spacetimes
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate
• Measurement-Induced Perturbations of Hausdorff Dimension in Quantum Paths
• Unruh-DeWitt detector's response to a non-relativistic particle