# Photon splitting in a laser field

## TL;DR

This paper investigates photon splitting caused by vacuum polarization in laser fields, deriving general amplitudes and analyzing specific cases to assess experimental observability of the process.

## Contribution

It provides a comprehensive derivation of photon splitting amplitudes for arbitrary laser fields using an operator technique, including detailed analysis for monochromatic circular polarization.

## Key findings

- Derived amplitudes as three-fold integrals for circular polarization
- Analyzed asymptotic behavior for various laser field limits
- Discussed experimental feasibility of observing photon splitting

## Abstract

Photon splitting due to vacuum polarization in a laser field is considered. Using an operator technique, we derive the amplitudes for arbitrary strength, spectral content and polarization of the laser field. The case of a monochromatic circularly polarized laser field is studied in detail and the amplitudes are obtained as three-fold integrals. The asymptotic behavior of the amplitudes for various limits of interest are investigated also in the case of a linearly polarized laser field. Using the obtained results, the possibility of experimental observation of the process is discussed.