Note on an application of the method of uniqueness to reduced quantum electrodynamics

TL;DR

This paper applies the method of uniqueness to evaluate a complex two-loop Feynman diagram in reduced quantum electrodynamics, simplifying the calculation of the polarization operator.

Contribution

It introduces a transparent approach using the method of uniqueness for evaluating two-loop diagrams in reduced quantum electrodynamics.

Findings

Successful evaluation of a two-loop massless propagator diagram

Application of the method to compute the polarization operator

Simplified and transparent calculation process

Abstract

Using the method of uniqueness a two-loop massless propagator Feynman diagram with a non-integer index on the central line is evaluated in a very transparent way. The result is applied to the computation of the two-loop polarization operator in reduced quantum electrodynamics.