2025/04/08 by Mingjie Li, Li, Mingjie, S. A. R. Horsley +1
Engineering · Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #General Physics (physics.gen-ph) #Particle Accelerators and Free-Electron Lasers
paper · pdf · doi:10.48550/arxiv.2504.06329
openalex publication_date 2025/04/08 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28
Here we examine the propagation of relativistic fields in spacetime using the viewpoint applied to derive the Rayleigh--Sommerfeld diffraction integral in three--dimensional space. We use this theory to find the propagators for both the Klein--Gordon equation and the Dirac equation. Based on these results, we highlight some apparently overlooked aspects of the Feynman checkerboard model as it is usually applied to the Dirac equation.