Feynman's Relativistic Cut-Off for Quantum Electrodynamics

TL;DR

This paper demonstrates that Feynman's relativistic cutoff modification to electrodynamics, originally applied to spin-1/2 particles, is also valid for spin-0 particles and is equivalent to Podolsky's Hamiltonian approach.

Contribution

It extends Feynman's electrodynamics modification to spin-0 particles and establishes its equivalence to Podolsky's Hamiltonian formulation.

Findings

Feynman's cutoff method applies to spin-0 particles.

The modification is equivalent to Podolsky's Hamiltonian approach.

Self-energy calculations are successfully performed for spin-0 particles.

Abstract

Feynman's modification to electrodynamics and its application to the calculation of self-energy of a free spin-$\frac{1}{2}$ particle, appearing in his 1948 Physical Review paper, is shown to be applicable for the self-energy calculation of a free spin-0 particle as well. Feynman's modification to electrodynamics is shown to be equivalent to a Hamiltonian approach developed by Podolsky.