Spin zero particle propagator from a random walk in 3-D space

TL;DR

This paper derives the propagator for a spin zero particle in coordinate space by modeling its motion as a rectilinear path at light speed with random directional changes at scattering points, averaging over the Compton length.

Contribution

It introduces a novel random walk model for a spin zero particle's propagation at light speed, incorporating scattering-induced directional changes.

Findings

Derivation of the propagator based on the random walk model.

Average path length between scatterings is of the order of the Compton length.

Provides a new perspective on particle propagation at relativistic speeds.

Abstract

The propagator of a spin zero particle in coordinate space is derived supposing that the particle propagates rectilinearly always at the speed of light and changes its direction in some random points due to a scattering process.The average path between two scatterings is of the order of the Compton length.