Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering

TL;DR

This paper provides a perturbative analysis of nonabelian Aharonov-Bohm scattering, highlighting the importance of contact interactions for renormalizability and identifying conditions for finiteness and conformal invariance.

Contribution

It introduces a one-loop perturbative framework for the nonabelian Aharonov-Bohm problem and demonstrates the role of contact interactions in renormalization and conformal symmetry.

Findings

Contact interactions are necessary for renormalizability.

At critical contact interaction values, the theory is finite.

The theory preserves conformal invariance at these critical points.

Abstract

We perform a perturbative analysis of the nonabelian Aharonov-Bohm problem to one loop in a field theoretic framework, and show the necessity of contact interactions for renormalizability of perturbation theory. Moreover at critical values of the contact interaction strength the theory is finite and preserves classical conformal invariance.