Static potential of a point charge in reduced QED3+1

Abstract

The potential of a point source placed on a flat surface is calculated in the context of reduced QED 3+1 , and the effective charge behavior is investigated with allowance for the polarization of vacuum. Both approximate analytical and numerical methods are used in calculations. It is established that the behavior of the examined potential at short and long distances from the source does not deviate significantly from the Coulomb behavior of vacuum massless and massive fermions. Other deviations of the results obtained from the well-known standard QED 3+1 and QED 2+1 data are also discussed.