Hidden Symmetries in Deformed Very Special Relativity
arXiv:2102.08563 · doi:10.1103/PhysRevD.103.L071701
Abstract
We study particle dynamics in a space-time invariant under the group - the deformation of the symmetry group of very special relativity. We find that the Lorentz violation leads to the creation of higher order (hidden) symmetries which are connected to those broken at the space-time level. Through the perspective of the conserved quantities of the special relativistic case the Lorentz violation is linked to specific non-commutative relations in phase-space.
arXiv comment6 pages, no figures, Latex2e source file, minor changes to match published version
References in corpus (22)
- The fundamental constants and their variation: observational status and theoretical motivations
- Noncommutative Field Theory and Lorentz Violation
- Nonstandard optics from quantum spacetime
- The Relation between Physical and Gravitational Geometry
- Very Special Relativity
- Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
- General Very Special Relativity is Finsler Geometry
- Hidden Symmetries of Dynamics in Classical and Quantum Physics
- Classical kinematics for Lorentz violation
- Measurement of the Planck constant at the National Institute of Standards and Technology from 2015 to 2017
- Finsler-like structures from Lorentz-breaking classical particles
- A Realization of the Cohen-Glashow Very Special Relativity
- Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
- Classical Lagrangians for Momentum Dependent Lorentz Violation
- Finsler pp-waves
- Noncommutative Spacetime in Very Special Relativity
- Extended disformal approach in the scenario of Rainbow Gravity
- Geodesic motion in Bogoslovsky-Finsler Spacetimes
- Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
- High Precision Determination of the Planck Constant by Modern Photoemission Spectroscopy
- The geometry of null-like disformal transformations
- Finsler space-time in light of Segal's principle