On the paper 'Role of potentials in the Aharonov-Bohm effect'

TL;DR

This paper discusses the non-locality of the magnetic vector potential in the Aharonov-Bohm effect, exploring interpretations involving local gauge potentials versus non-local gauge-invariant fields.

Contribution

It provides a detailed analysis of the non-local nature of the vector potential and its implications for understanding the Aharonov-Bohm effect.

Findings

Magnetic vector potential expressed in terms of magnetic field is explicitly non-local.

Supports the view that the Aharonov-Bohm effect can be interpreted via local gauge potential or non-local gauge-invariant fields.

Clarifies the role of non-locality in quantum electromagnetic phenomena.

Abstract

When the magnetic vector potential is expressed in terms of the magnetic field it, is found to be explicitly non-local in space. This gives support to the conclusions of Aharonov et al. in a recent comment, that the Aharonov-Bohm effect may be interpreted as being either due to a local gauge potential or else due to non-local gauge-invariant fields but not due to local gauge-invariant fields.