Lorentz Covariant k-Minkowski Spacetime
arXiv:0912.5451 · doi:10.1103/PhysRevD.81.125024
Abstract
In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski spacetime. We then show that, though the usual k-Minkowski spacetime is covariant under deformed (or twisted) Lorentz action, the resulting framework is equivalent to taking a non covariant restriction of the covariantised model. We conclude with some general comments on the approach of deformed covariance.
16 pages. references added, appendix enlarged, minor typos
References in corpus (1)
Cited by in corpus (12)
- Speed of particles and a relativity of locality in -Minkowski quantum spacetime
- Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
- Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
- Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations
- -Poincaré invariant quantum field theories with KMS weight
- Non-Pauli Transitions From Spacetime Noncommutativity
- A modular spectral triple for -Minkowski space
- Quantum Spacetime: a Disambiguation
- Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
- Canonical k-Minkowski Spacetime
- Poincaré Covariant k-Minkowski Spacetime
- Braided algebras and the kappa-deformed oscillators