Discrete phase space, relativistic quantum electrodynamics, and a nonsingular Coulomb potential
Abstract
This paper deals with the relativistic, quantized electromagnetic and Dirac field equations in the arena of discrete phase space and continuous time. The mathematical formulation involves partial difference equations. In the consequent relativistic quantum electrodynamics, the corresponding Feynman diagrams and S#matrix elements are derived. In the special case of electronelectron scattering (Møller scattering), the explicit secondorder element fS(2)# i is deduced. Moreover, assuming the slow motions for two external electrons, the approximation of fS(2)# i yields a divergencefree Coulomb potential.
 Publication:

Modern Physics Letters A
 Pub Date:
 August 2020
 DOI:
 10.1142/S0217732320501990
 arXiv:
 arXiv:1905.02524
 Bibcode:
 2020MPLA...3550199D
 Keywords:

 Discrete phase space;
 partial difference equations;
 quantum electrodynamics;
 divergencefree Coulomb potential;
 11.10Ef;
 11.10Qr;
 11.15Ha;
 02.30Em;
 03.65Fd;
 Physics  General Physics;
 High Energy Physics  Theory
 EPrint:
 19 Pages, 2 tables, 3 figures