Article

# Dirac monopole with Feynman brackets

Physics Letters A (Impact Factor: 1.63). 04/2000; DOI: 10.1016/S0375-9601(99)00016-X

Source: arXiv

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**ABSTRACT:**We derive the Maxwell's equations on the $\kappa$-deformed spacetime, valid up to first order in the deformation parameter, using the Feynman's approach. We show that the electric-magnetic duality is a symmetry of these equations. It is also shown that the laws of electrodynamics are {\it different} for particles of equal charges, but with different masses. We show that the Poincare angular momentum, required to maintain the usual Lorentz algebra structure, do not get any $\kappa$-dependent corrections. Comment: 7 pages, Typos corrected,changes made for clarity, removed a sentence, to appear in Europhysics LettersEPL (Europhysics Letters) 02/2010; · 2.26 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**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.Physical review D: Particles and fields 07/2011; 84. - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper, we derive corrections to the geodesic equation due to the $k$-deformation of curved space-time, up to the first order in the deformation parameter a. This is done by generalizing the method from our previous paper [31], to include curvature effects. We show that the effect of $k$-noncommutativity can be interpreted as an extra drag that acts on the particle while moving in this $k$-deformed curved space. We have derived the Newtonian limit of the geodesic equation and using this, we discuss possible bounds on the deformation parameter. We also derive the generalized uncertainty relations valid in the non-relativistic limit of the $k$-space-time.Physical review D: Particles and fields 03/2012; 86(4).

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