Massive photons in particle and laser physics

TL;DR

This paper extends the Dirac equation to include massive photons, deriving approximate solutions and modified Compton formulas for electron-photon interactions in laser fields.

Contribution

It introduces a generalized Volkov solution for massive photons and explores their effects in electron interactions within laser fields.

Findings

Derived approximate Volkov solutions for massive photons

Formulated modified Compton scattering formulas

Analyzed electron behavior in laser pulses with massive photon effects

Abstract

The massive electrodynamics is applied to the Dirac equation to find the generalized Volkov solution with massive photon field. The resulting equation is the Riccati equation which cannot be solved in general. We use the approximative Volkov function for massive photons and then consider an electron in the periodic field and in the laser pulse of the delta-function form. We derive the modified Compton formulas for the interaction of the multiphoton object with an electron for both cases.