Electrodynamics on $κ$-Minkowski space-time

Details Electrodynamics on $κ$-Minkowski space-time Electrodynamics on $κ$-Minkowski space-time

2011-07-20

arxiv.org/abs/1107.3936v2

Phys. Rev. D 84, 085020 (2011) [8 pages]

Physics

High Energy Physics

High Energy Physics - Theory

16 pages,minor changes, paragraph added on page 13, two new references added, to appear in Phys.Rev. D

Scientific paper

10.1103/PhysRevD.84.085020

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 non-commutative 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 non-commutativity. 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.

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