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arXiv · 2403.03495

Aharonov-Bohm effect mediated by massive photons

Kicheon Kang
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Abstract

Virtual photons play an essential role in the locally realistic description of the Aharonov-Bohm interference. We show that the effect of virtual photons in the interferometer is manifested by a change in their spectrum. In particular, when a vacuum is confined between two ideal conducting plates, the photons obey the two-dimensional Proca equation, the wave equation with finite effective mass. This results in a short-range interaction between a test charge and a magnetic flux, and hence the Aharonov-Bohm effect is reduced exponentially at a large distance between the two bodies. On the other hand, a semiclassical description is also possible, and this raises the interesting question of how to prove the physical reality of virtual photons.

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Kicheon Kang. 2024-03-06. Aharonov-Bohm effect mediated by massive photons. https://doi.org/10.1209/0295-5075%2Fad763b

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