Vacuum polarization around an Aharonov-Bohm solenoid
The quantisation of a charged scalar field in an externally specified electromagnetic field, described by the vector potentialAi=∂if withf(t,r,θ,z)=Bθ is discussed. The electromagnetic field is zero everywhere except at the origin; a singular magnetic field (Aharonov-Bohm field) exists at the origin. The vacuum polarization around such a magnetic field is computed and the non-local behaviour is discussed.
Volume 94, 2020
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