QED processes beyond the Aharonov-Bohm effect

TL;DR

This paper investigates quantum electrodynamics processes involving an infinitely thin magnetic flux string, analyzing bremsstrahlung and pair production with exact solutions to the Dirac equation in the Aharonov-Bohm potential.

Contribution

It provides explicit matrix elements and discusses cross section dependencies for QED processes in the Aharonov-Bohm setup, extending understanding of quantum effects around magnetic flux strings.

Findings

Cross sections depend on energies, directions, and polarizations.

Exact solutions enable precise calculations of QED processes.

Analysis focuses on low-energy regimes.

Abstract

We consider QED - processes in the presence of an infinitely thin and infinitely long straight string with a magnetic flux inside it. The bremsstrahlung from an electron passing by the magnetic string and the electron-positron pair production by a single photon are reviewed. Based on the exact electron and positron solutions of the Dirac equation in the external Aharonov-Bohm potential we present matrix elements for these processes. The dependence of the resulting cross sections on energies, directions and polarizations of the involved particles is discussed for low energies.