Remarks on classical pseudo-electrodynamics

TL;DR

This paper investigates classical pseudo-electrodynamics, focusing on conservation laws, radiation fields, and the introduction of magnetic monopoles, providing new insights into nonlocal planar electrodynamics and its radiation phenomena.

Contribution

It derives energy-momentum and angular momentum tensors, analyzes radiation from a moving point charge, and proposes a method to incorporate magnetic monopoles into pseudo-electrodynamics.

Findings

Retarded potentials and fields for a moving point charge are obtained.

Radiation power of an electric dipole in 1+2 dimensions is analyzed.

A framework for including magnetic monopoles in pseudo-electrodynamics is proposed.

Abstract

Classical studies as the conservation laws and the radiation fields are investigated in the pseudo-electrodynamics. We explore the action symmetry under infinitesimal transformations to obtain the energy-momentum, the Belinfante-Rosenfeld, and the general angular momentum tensors for this nonlocal planar electrodynamics. Through the results such as the retarded potentials and fields generated by a point particle in an arbitrary motion, we study the radiation of an electric dipole and it radiated power in 1+2 dimensions. In addition, we propose a way to introduce magnetic monopoles in pseudo-electrodynamics, in which the solutions and conservation laws are also presented.