TL;DR
This paper presents a path integral formulation for solving the 3+1 dimensional Dirac equation, discussing trajectory regularity, non-relativistic limits, and semiclassical approximations.
Contribution
It introduces a novel path integral representation specifically for the Dirac equation in four-dimensional spacetime.
Findings
Path integral representation for Dirac solutions provided
Analysis of trajectory regularity included
Connections to non-relativistic and semiclassical limits discussed
Abstract
A path integral representation is given for the solutions of the 3+1 dimensional Dirac equation. The regularity of the trajectories, the non-relativistic limit and the semiclassical approximation are briefly mentioned.
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