Static polarizability vertex and its applications

TL;DR

This paper derives an explicit expression for the static polarizability vertex using a Lagrangian framework and demonstrates its applications in calculating Compton scattering amplitudes.

Contribution

It introduces a new explicit form of the static polarizability vertex based on a Lagrangian approach linking electrodynamics and quantum field theory.

Findings

Derived the static polarizability vertex explicitly.

Applied the vertex to compute real Compton scattering amplitude.

Analyzed the imaginary part of doubly virtual Compton scattering.

Abstract

Using the Lagrangian that was developed on the corresponding principle between the moving medium electrodynamic and quantum field theory the explicit expression for the static polarizability vertex has been obtained. The applications of this vertex for calculations of real Compton scattering amplitude as well as the imaginary part of doubly virtual Compton scattering amplitude have been demonstrated.