On the Nonabelian Aharonov Bohm Scattering of Spinless Particles

TL;DR

This paper investigates nonabelian Aharonov-Bohm scattering of spinless particles interacting via a Chern-Simons field, deriving nonrelativistic limits and including quantum vacuum effects through quantum field theory methods.

Contribution

It provides a detailed quantum field theoretical analysis of nonabelian Aharonov-Bohm scattering, including renormalization and relativistic corrections.

Findings

Derived the nonrelativistic limit of the scattering process.

Included vacuum polarization effects in the analysis.

Calculated next-to-leading relativistic corrections.

Abstract

The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop renormalization program is implemented. Through the introduction of an intermediary cutoff, separating the regions of high and low integration momentum, the nonrelativistic limit is derived. The next to leading relativistic approximation is also determined. In this approach quantum field theory vacuum polarization effects are automatically incorporated.