Production of Vortices by Scattering Particles

TL;DR

This paper develops an action framework for describing vortex production through particle scattering in 2+1 dimensions, deriving explicit cross-sections and exploring both global and gauged vortices with Aharonov-Bohm interactions.

Contribution

It introduces a unified action approach for vortex production in 2+1D, connecting global and gauged vortices, and calculates production cross-sections explicitly.

Findings

Action reduces to scalar QED at strong coupling

Explicit vortex production cross-sections derived

Analysis includes Aharonov-Bohm interactions with particles

Abstract

We give an action that can be used to describe the production of global vortices in 2+1 dimensions by scattering Nambu-Goldstone bosons. At strong self-coupling the action reduces to scalar QED with particular values of the coupling constants and the production cross-section is explicitly found. We also consider the production of gauged vortices by scattering particles that have an Aharanov-Bohm interaction with the vortex.