Photon Splitting in a Very Strong Magnetic Field

TL;DR

This paper analyzes photon splitting in extremely strong magnetic fields, showing the amplitude's independence from the field strength and confirming previous results while contradicting recent findings.

Contribution

It provides a new calculation of photon splitting amplitude in supercritical magnetic fields using an operator-diagram technique, clarifying its independence from the field.

Findings

Splitting amplitude is independent of magnetic field strength in supercritical fields.

Results agree with Adler's previous work.

Contradicts recent findings by Mentzel et al.

Abstract

Photon splitting in a very strong magnetic field is analyzed for energy $\omega < 2m$. The amplitude obtained on the base of operator-diagram technique is used. It is shown that in a magnetic field much higher than critical one the splitting amplitude is independent on the field. Our calculation is in a good agreement with previous results of Adler and in a strong contradiction with recent paper of Mentzel et al.