A study on the static field of a point charge in three-dimensional electrodynamics

Gennadiy Pivnyak, Mendel Pevzner, Andrey Medvedev, Edgar Caceres Cabana, Andrzej Bąk, Andrzej Bajerski, Adam Smoliński

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The static field potential in quantum electrodynamics in the space of three dimensions (QED3) 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 QED3. 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.

Original languageEnglish
Article number075020
Pages (from-to)1-9
Number of pages9
JournalJournal of Physics Communications
Issue number7
StatePublished - Jul 2020

Bibliographical note

Publisher Copyright:
© 2020 The Author(s). Published by IOP Publishing Ltd.


  • Chiral symmetry breaking
  • Confinement
  • Polarization of vacuum
  • Static potential
  • Three-dimensional electrodynamics


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