On Detecting Discrete Cheshire Charge

TL;DR

This paper investigates how non-abelian discrete symmetry string loops carry detectable charges via Aharonov-Bohm interactions, using gauge-invariant methods to analyze charge transfer and detection processes.

Contribution

It introduces a gauge-invariant framework for detecting and analyzing charges on non-abelian discrete symmetry string loops, including charge transfer mechanisms.

Findings

Charge on loops has no localized source but is detectable via Aharonov-Bohm effects.

Charge transfer between particles and loops is described using gauge-invariant correlation functions.

The process of charge detection is systematically analyzed.

Abstract

We analyze the charges carried by loops of string in models with non-abelian local discrete symmetry. The charge on a loop has no localized source, but can be detected by means of the Aharonov--Bohm interaction of the loop with another string. We describe the process of charge detection, and the transfer of charge between point particles and string loops, in terms of gauge--invariant correlation functions.