Eletrodinâmica de Maxwell-Podolsky aplicada para sistemas bidimensionais.

Abstract

Quantum Field Theories (TQC) in (2+1)D have been widely studied both by comparison with Quantum Chromodynamics (QCD) and with two-dimensional systems in Condensed Matter Physics (FMC), such as graphene. In this work, we discuss electron-electron interactions in quantum electrodynamics (QED) and Pseudo Quantum Electrodynamics (PQED). These interactions are given at the classical level and can be corrected by quantum effects, via the vacuum polarization tensor for massive or non-massive Dirac fermions. We show that the correction for massive fermions produces a Podolsky term. We then calculated the effect of this correction for the static interaction and calculated solutions of the Schwinger-Dyson equations in the Maxwell-Podolsky theory in (2 + 1)D, using four-component Dirac fermions. Our results are relevant to understanding a process of spontaneous generation of the Podolsky term as well as producing a short-range interaction between electrons living in the two-dimensional plane.