Radiation Reaction in Non-commutative Electrodynamics

Abstract

We study the radiation reaction acting on an accelerating charge moving in noncommutative spacetime and obtain an expression for it. Radiation reaction, due to a nonrelativistic point charge, is found to receive a small noncommutative correction term. The Abraham-Lorentz equation for a point charge in noncommutative spacetime suffers from the pre-acceleration and the runaway problems. We explore as an application the radiation reaction experienced by a charge which undergoes harmonic oscillations in a noncommutative plane.

arXiv comment15 pages, 2 figures

References in corpus (7)

• String Theory and Noncommutative Geometry
• Quantum Field Theory on Noncommutative Spaces
• The quantum structure of spacetime at the Planck scale and quantum fields
• Physical Instances of Noncommuting Coordinates
• Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
• Classical Noncommutative Electrodynamics with External Source
• Path Integrals in Noncommutative Quantum Mechanics