Vacuum Polarization in QED with World-Line Methods

TL;DR

This paper employs world-line techniques to compute vacuum polarization and effective action in scalar and spinor QED under arbitrary constant electromagnetic fields, inspired by recent string-inspired methods.

Contribution

It introduces a novel application of world-line methods to QED calculations with arbitrary external fields, expanding on previous string-inspired approaches.

Findings

Successfully calculated vacuum polarization tensors.

Derived effective actions for scalar and spinor QED.

Demonstrated the versatility of world-line techniques in QED.

Abstract

Motivated by several recent papers on string-inspired calculations in QED, we here present our own use of world-line techniques in order to calculate the vacuum polarization and effective action in scalar and spinor QED with external arbitrary constant electromagnetic field configuration.