Geodesic
Vacuum polarization by magnetic flux: The Aharonov--Bohm effect
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 299-311

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A magnetic field confined to a tube polarizes the quantum-field vacuum in the region outside the tube by the Aharonov–Bohm effect. The vacuum energy density and the current of scalar and spinor fields are calculated in the presence of a straight infinitely long tube. 
@article{TMF_1985_64_2_a11,
     author = {E. M. Serebryanyi},
     title = {Vacuum polarization by magnetic flux: {The} {Aharonov--Bohm} effect},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {299--311},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a11/}
}
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E. M. Serebryanyi. Vacuum polarization by magnetic flux: The Aharonov--Bohm effect. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 299-311. http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a11/