Electrodynamics on {kappa}-Minkowski space-time

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.085020· OSTI ID:21607953

Harikumar, E; Juric, T; Meljanac, S ^[1]

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1. School of Physics, University of Hyderabad, Central University P O, Hyderabad, AP, PIN 500046 (India)

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.

• OSTI ID: 21607953
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGED PARTICLES
COMMUTATION RELATIONS
COUPLING
DEFORMATION
DIFFERENTIAL EQUATIONS
ELECTRIC CHARGES
ELECTRODYNAMICS
EQUATIONS
GRAVITATIONAL FIELDS
LORENTZ FORCE
MASS
MATHEMATICAL SPACE
MAXWELL EQUATIONS
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
SPACE-TIME