Electrodynamics on $\kappa$-Minkowski space-time

Understand

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.