Self force on a point-like source coupled with massive scalar field

TL;DR

This paper investigates the radiation reaction force on a scalar charge in flat spacetime, using a renormalization approach to derive equations of motion that include self-force effects and mass variation.

Contribution

It introduces a consistent renormalization method exploiting Poincaré invariance to derive the self-force and mass change for a scalar charge with a massive field.

Findings

Derived the Harish-Chandra equation of motion including self-force effects

Established energy-momentum and angular momentum balance equations for the system

Showed the self-force causes a time-dependent inertial mass

Abstract

The problem of determining the radiation reaction force experienced by a scalar charge moving in flat spacetime is investigated. A consistent renormalization procedure is used, which exploits the Poincar\'e invariance of the theory. Radiative parts of Noether quantities carried by massive scalar field are extracted. Energy-momentum and angular momentum balance equations yield Harish-Chandra equation of motion of radiating charge under the influence of an external force. This equation includes effect of particle's own field. The self force produces a time-changing inertial mass.