Coulomb's law modification in nonlinear and in noncommutative electrodynamics

Abstract

We study the lowest-order modifications of the static potential for Born-Infeld electrodynamics and for the $\theta$-expanded version of the noncommutative U(1) gauge theory, within the framework of the gauge-invariant but path-dependent variables formalism. The calculation shows a long-range correction ($1/r^5$-type) to the Coulomb potential in Born-Infeld electrodynamics. However, the Coulomb nature of the potential (to order $e^2$) is preserved in noncommutative electrodynamics.

arXiv comment14 pages, 1 figure

References in corpus (10)

• String Theory and Noncommutative Geometry
• Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
• Remarks on Gauge-Invariant Variables and Interaction Energy in QED
• On Duality in the Born-Infeld Theory
• From Screening to Confinement in a Gauge-Invariant Formalism
• Genuine Dyons in Born-Infeld Electrodynamics
• Off-Shell Duality in Born-Infeld Theory
• Dirac's Quantization of Maxwell's Theory on Non-Commutative Spaces

Cited by in corpus (8)

• Solution of Dirac equation and greybody radiation around a regular Bardeen black hole surrounded by quintessence
• Particle-like solutions to classical noncommutative gauge theory
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Standstill Electric Charge Generates Magnetostatic Field Under Born-Infeld Electrodynamics
• Properties of noncommutative axionic electrodynamics
• Analytical Calculation of Stored Electrostatic Energy per Unit Length for an Infinite Charged Line and an Infinitely Long Cylinder in the Framework of Born-Infeld Electrostatics
• Coulomb's law corrections from a gauge-kinetic mixing
• Born-Infeld Electrodynamics and Euler-Heisenberg-like Model: outstanding examples of the lack of commutativity among quantized truncated actions and truncated quantized actions