Effective lagrangians for light-light interaction with a background field

TL;DR

This paper derives an effective Lagrangian to describe light-light scattering in the presence of a background field at low energies, extending the Euler-Heisenberg Lagrangian to include background interactions.

Contribution

It introduces a modified effective Lagrangian that accounts for background fields in light-light scattering at low energies, building on the Euler-Heisenberg framework.

Findings

Derived the Euler-Heisenberg Lagrangian at one loop.

Modified the Lagrangian to include background field effects.

Provided a theoretical framework for low-energy light-light interactions with backgrounds.

Abstract

We address the issue of light-light scattering in the presence of a background field at low energies using effective lagrangians. We derive the Euler-Heisenberg lagrangian at one loop and modify it to incorporate the case of the interaction with a background field.