Symmetry considerations on radiation damping

TL;DR

This paper explores the theoretical construction of a supersymmetric model for radiation damping on a noncommutative plane, addressing the lack of a direct Lagrangian description and analyzing duality, supercharges, and Hamiltonian structure.

Contribution

It introduces a novel N=2 supersymmetric extension for radiation damping models on noncommutative spaces, including dualization and algebraic analysis.

Findings

Supersymmetric extension constructed for radiation damping model.

Dualization analysis performed on the original action.

Supercharge algebra and Hamiltonian derived for the system.

Abstract

It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper we will use a specific approach of this problem which is the standard way to treat the radiation damping problem. The objectives here are to construct: a N=2 supersymmetric extension for the model describing the radiation damping on the noncommutative plane with electric and magnetic interactions; a dualization analysis of the original action; the supercharge algebra and the total Hamiltonian for the system.