Self-interaction in the Bopp-Podolsky electrodynamics: Can the observable mass of a charged particle depend on its acceleration?

TL;DR

This paper derives the self-force in Bopp-Podolsky electrodynamics and shows that a charged particle's observable mass can depend on its acceleration, offering potential experimental insights into its bare mass.

Contribution

It provides an explicit formula for the self-force in Bopp-Podolsky electrodynamics and demonstrates the acceleration dependence of the observable mass.

Findings

Explicit self-force formula for uniform acceleration

Observable mass depends on acceleration

Potential to measure bare mass experimentally

Abstract

In this paper we obtain the expression for the self-force in the model with the Lagrangian containing additional terms, quadratic in Maxwell tensor derivatives (so-called Bopp-Podolsky electrodynamics). Features of this force are analyzed for various limiting cases. When a charged particle moves along straight line with a uniform acceleration, an explicit formula is found. In the framework of the considered model, an observable renormalized particle mass is shown to depend on its acceleration. This dependence allows, in principle, to extract experimentally a value of the particle bare mass.