The energy-momentum tensor in a classical model of the electron

TL;DR

This paper demonstrates that classical models can accurately derive the non-analytic behavior of the energy-momentum tensor form factors for an electron in QED, providing insights into the proton D-term.

Contribution

It shows how a classical solvable model reproduces key non-analytic features of the electron's energy-momentum tensor form factors in QED.

Findings

Classical model reproduces non-analytic terms in EMT form factors

Insights into the regularized proton D-term

Clarifies the role of classical models in quantum form factor analysis

Abstract

We show that the leading non-analytic terms in the small-t expansion of the energy momentum tensor (EMT) form factors of an electrically charged particle in QED can be correctly derived in a classical model of the electron by Bialynicki-Birula. Based on the lucidity of the employed exactly solvable model, we comment also on the recently proposed concept of a regularized proton D-term.