1209.2050 (A M Stewart)

Role of the non-locality of the vector potential in the Aharonov-Bohm
effect    [PDF]

A M Stewart

When the electromagnetic potentials are expressed in the Coulomb gauge in terms of the electric and magnetic fields rather than the sources responsible for these fields they have a simple form that is non-local i.e. the potentials depend on the fields at every point in space. It is this non-locality of classical electrodynamics that is primarily responsible for the puzzle associated with the Aharonov-Bohm effect: that its interference pattern is affected by fields in a region of space that the electron beam never enters.

View original: http://arxiv.org/abs/1209.2050