Aharonov-Casher and shielded Aharonov-Bohm effects with a quantum electromagnetic field

Abstract

We use a covariant formalism that is capable of describing the electric and magnetic versions of the Aharonov-Bohm effect, as well as the Aharonov-Casher effect, through local interactions of charges and currents with the quantum electromagnetic field. By considering that only local interactions of a quantum particle with the quantum field can affect its behavior, we show that the magnetic Aharonov-Bohm effect must be present even if the solenoid generating the magnetic field is shielded by a perfect conductor, as experimentally demonstrated.

5 pages, 1 figure. V2: The new version is focused on the Aharonov-Bohm and Aharonov-Casher effects, without general claims about quantum phases

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