2011/07/31 by E. Harikumar, Tajron Jurić, T. Juric +2 · 67 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Space (punctuation) #hep-th
paper · pdf · doi:10.1103/physrevd.84.085020
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 84(8) (American Physical Society) · 16 pages,minor changes, paragraph added on page 13, two new references added, to appear in Phys.Rev. D
arxiv created 2011/09/29 · openalex publication_date 2011/10/21 · arxiv updated 2012/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we derive Lorentz force and Maxwell's equations on kappa-Minkowski space-time up to the first order in the deformation parameter. This is done by elevating the principle of minimal coupling to noncommutative space-time. We also show the equivalence of minimal coupling prescription and Feynman's approach. It is shown that the motion in kappa space-time can be interpreted as motion in a background gravitational field, which is induced by this noncommutativity. In the static limit, the effect of kappa deformation is to scale the electric charge. We also show that the laws of electrodynamics depend on the mass of the charged particle, in kappa space-time.