Vacuum effects in electrodynamics and in Yang-Mills theory in (2+1) dimensions

TL;DR

This paper explores vacuum effects in (2+1)-dimensional quantum electrodynamics and Yang-Mills theory, analyzing phenomena like photon polarization, electron mass shifts, and parity breaking at finite temperature and external fields.

Contribution

It provides new insights into topologically induced vacuum effects and electron self-energy in (2+1) dimensions, including finite temperature and external field considerations.

Findings

Photon polarization operator characterized as a function of energy and field strength.

Electron mass shift induced by radiative corrections in magnetic fields.

Parity breaking effects in Yang-Mills action at finite temperature.

Abstract

Vacuum effects in (2+1)-dimensional quantum electrodynamics (QED) with the topological Chern-Simons term are considered. The photon polarization operator is studied and the decay rate for the electron-positron photoproduction is presented as a function of the photon energy and external field strength. The radiatively induced electron mass shift in an external magnetic field is investigated. The electron self-energy in topologically massive (2+1)-QED at finite temperature and density is studied. The parity breaking part of the Yang-Mills action in the framework of the $SU(2)\times U(1)$ gauge field model at finite temperature is considered.