Bounds on Cubic Lorentz-Violating Terms in the Fermionic Dispersion Relation

Abstract

We study the recently proposed Lorentz-violating dispersion relation for fermions and show that it leads to two distinct cubic operators in the momentum. We compute the leading order terms that modify the non-relativistic equations of motion and use experimental results for the hyperfine transition in the ground state of the ${}^9\text{B}{e}^{+}$ ion to bound the values of the Lorentz-violating parameters ${\eta }_1$ and ${\eta }_2$ for neutrons. The resulting bounds depend on the value of the Lorenz-violating background four-vector in the laboratory frame.

arXiv commentRevtex 4, four pages. Version to match the one to appear in Physical Review D

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• A Remark on Lorentz Violation at Finite Temperature
• An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
• Induced Chern-Simons-like action in Lorentz-violating massless QED
• Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
• The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• Dispersion Relations in Noncommutative Theories
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Time delay of light signals in an energy-dependent spacetime metric
• Renormalization in a Lorentz-violating model and higher-order operators
• Brane Lorentz Symmetry from Lorentz Breaking in the Bulk
• Non-linearities in the quantum multiverse
• Rotating black hole shadows in metric-affine bumblebee gravity