Moving medium electrodynamics approach for description of the electric and magnetic static polarizable properties of the nucleon at low energy

TL;DR

This paper develops a covariant Lagrangian within relativistic electrodynamics to describe the static electric and magnetic polarizabilities of nucleons at low energies, linking quantum field theory with electromagnetic properties.

Contribution

It introduces a novel covariant Lagrangian formalism for nucleon polarizabilities, enabling calculation of energy-momentum tensors and scattering amplitudes within a unified framework.

Findings

Derived covariant Lagrangian for nucleon polarizabilities

Calculated energy-momentum tensors and Compton scattering amplitudes

Applied formalism to radiative corrections in virtual Compton scattering

Abstract

Using the relativistic electrodynamics of continuous media formalism and main relativistic quantum field theory principles the covariant Lagrangian of electromagnetic field interaction with polarizable 1/2-spin particles have been obtained. This Lagrangian let us to determine canonical and metric energy-momentum tensors as well as low-energy Compton scattering amplitude. The application of this Lagrangian for the calculation of the radiative correction to the imaginary part of double virtual Compton scattering is demonstrated.