Path-ordered Phase Factors in Scalar Quantum Electrodynamics

TL;DR

This paper derives two- and three-point Green's functions for scalar QED in the infrared limit, demonstrating the factorization of infrared singularities in the vertex function similar to spinor QED, simplifying previous complex calculations.

Contribution

It provides a straightforward derivation of infrared singularity factorization in scalar QED, aligning with known results from perturbative methods.

Findings

Infrared singularities factorize in scalar QED vertex functions.

The derivation reproduces known perturbative results.

Simplifies understanding of infrared behavior in scalar QED.

Abstract

Starting from linear equations for the complex scalar field, the two- and three-point Green's functions are obtained in the infrared approximation. We show that the infrared singularity factorizes in the vertex function as in spinorial QED, reproducing in a straightforward way the result of lenghty perturbative calculations.