Open AccessA study on the static field of a point charge in three-dimensional electrodynamics
Author(s) -
Gennadiy Pivnyak,
M. Sh. Pevzner,
A. V. Medvedev,
Edgar Cáceres Cabana,
Andrzej Bąk,
Andrzej Bajerski,
Adam Smoliński
Publication year - 2020
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
ISSN - 2399-6528
DOI - 10.1088/2399-6528/aba734
Subject(s) - massless particle , physics , polarization (electrochemistry) , field (mathematics) , charge (physics) , quantum mechanics , chemistry , mathematics , pure mathematics
The static field potential in quantum electrodynamics in the space of three dimensions (QED 3 ) produced by a point charge was investigated taking into account the polarization of the vacuum. The polarization operator is taken in the N − 1 approximation which was previously used to study the dynamic violation of chiral symmetry in QED 3 . An approximate analytical analysis is accompanied by numerical calculations; there is a good quantitative agreement between the results obtained using these methods. The case of massive dynamical fermions is considered. The limiting transition to the massless case is analyzed, as well as the confinement problem occurring in this model.