On the effective action of the vacuum photon splitting in Lorentz violating QED through Krein space

TL;DR

This paper investigates the photon triple splitting process in Lorentz-violating QED using Krein space quantization and quantum metric fluctuations, concluding that a nonzero effective action cannot be obtained at one-loop level.

Contribution

It introduces a novel approach combining Krein space quantization and quantum metric fluctuations to analyze photon splitting in Lorentz-violating QED.

Findings

No nonzero effective action found at one-loop level

Krein space quantization impacts photon splitting amplitudes

Quantum metric fluctuations influence radiative corrections

Abstract

The finding of an explicit effective action describing amplitude of photon triple splitting is investigated through Krein space quantization and quantum metric fluctuation. Using the derivative expansion method, the one-loop radiative corrections from Lorentz- and CPT- violating extended Krein QED shows that it is not possible to find a nonzero effective action.