Aharonov-Bohm Effect vs. Dirac Monopole: A-B <=> D

TL;DR

This paper explores the theoretical relationship between the Aharonov-Bohm effect and Dirac monopoles using fiber bundle theory, establishing a connection between their mathematical structures.

Contribution

It demonstrates that the existence of the Aharonov-Bohm connection implies the existence and uniqueness of the Dirac connection within fiber bundle theory.

Findings

Aharonov-Bohm connection implies Dirac connection

Uniqueness of Dirac connection established

Mathematical link between Aharonov-Bohm effect and Dirac monopole

Abstract

In the context of fiber bundle theory, we show that the existence of the Aharonov-Bohm connection implies the existence and uniqueness of the Dirac connection.