Energy-momentum tensor for a field and particle in interaction

TL;DR

This paper presents a unified derivation of the energy-momentum tensors for a field and a particle in interaction, offering a comprehensive view of energy and momentum conservation in such systems.

Contribution

It introduces a unified derivation method contrasting with traditional separate approaches, enhancing understanding of combined energy-momentum conservation.

Findings

Unified energy-momentum tensor derivation for field and particle

Immediate description of overall energy and momentum conservation

Contrasts with traditional separate derivations

Abstract

This paper focuses on the basic system of a field and a particle in interaction and provides a single, unified derivation of the energy-momentum tensors for both the field and the particle. This derivation contrasts with the usual approach in text books, where these two tensors are derived separately via different considerations. The unified treatment thereby provides an immediate description of overall energy and momentum conservation for such a system.