Radiation Damping of a BPS Monopole; an Implication to S-duality

TL;DR

This paper examines the classical radiation damping of BPS monopoles and their dual W bosons, revealing duality in damping effects but explicit breaking in finite size scenarios, with implications for S-duality.

Contribution

It provides a classical analysis of radiation reaction in BPS monopoles and explores the duality with W bosons, highlighting where duality holds and where it breaks.

Findings

Damping of acceleration is dual between monopoles and W bosons.

Finite size effects explicitly break the duality.

Implications discussed for S-duality in gauge theories.

Abstract

The radiation reaction of a BPS monopole in the presence of incident electromagnetic waves as well as massless Higgs waves is analyzed classically. The reactive forces are compared to those of $W$ boson that is interpreted as a dual partner of the BPS monopole. It is shown that the damping of acceleration is dual to each other, while in the case of finite size effects the duality is broken explicitly. Their implications on the duality are discussed.