Aharonov-Bohm effect mediated by massive photons

• URL: http://arxiv.org/abs/2403.03495v1
• Date: Wed, 6 Mar 2024 06:40:16 GMT
• Title: Aharonov-Bohm effect mediated by massive photons
• Authors: Kicheon Kang
• Abstract summary: We show that the effect of virtual photons in the interferometer is manifested by a change in their spectrum. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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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