Three Applications of the String-Inspired Technique to Quantum Electrodynamics

TL;DR

This paper explores the application of string-inspired worldline techniques to complex quantum electrodynamics calculations, including photon splitting, the Euler-Heisenberg Lagrangian, and the three-loop QED beta function.

Contribution

It introduces novel applications of the string-inspired method to advanced QED problems, advancing computational techniques in the field.

Findings

Photon splitting in magnetic fields analyzed

Two-loop Euler-Heisenberg Lagrangian computed

Progress on three-loop QED beta function recalculation

Abstract

We discuss the following recent applications of the ``string-inspired'' worldline technique to calculations in quantum electrodynamics: i) Photon splitting in a constant magnetic field, ii) The two-loop Euler-Heisenberg Lagrangian, iii) A progress report on a recalculation of the three-loop QED beta -- function.