Relativistic Quantum Scattering on a Cone

TL;DR

This paper investigates how a bosonic particle scatters off a cosmic string in a relativistic quantum framework, highlighting the role of non-minimal coupling and delta-function interactions requiring renormalization.

Contribution

It introduces a detailed analysis of relativistic scattering with non-minimal coupling and addresses the renormalization of delta-function interactions in this context.

Findings

Effective delta-function interaction identified

Renormalization procedure developed for the scattering problem

Enhanced understanding of quantum scattering in cosmic string backgrounds

Abstract

We study the relativistic quantum mechanical scattering of a bosonic particle by an infinite straight cosmic string, considering the non-minimal coupling between the bosonic field and the scalar curvature. In this case, an effective two-dimensional delta-function interaction takes place besides the usual topological scattering and a renormalization procedure is necessary in order to treat the problem that appears in connection with the delta-function.