Geodesic
Vacuum energy induced by a singular magnetic vortex
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 72-81

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A singular vortex configuration of a static external magnetic field polarizes the vacuum of a quantum charged scalar field in a space of arbitrary dimension. We use the zeta-function method and the heat kernel method to solve the problem of regularizing and eliminating an ultraviolet divergence and to find the induced vacuum energy density. A sufficient condition for using the zeta-function method to solve the problems in spaces of arbitrary dimension is formulated. 
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     author = {A. Yu. Babanskii and Yu. A. Sitenko},
     title = {Vacuum energy induced by a singular magnetic vortex},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {72--81},
     publisher = {mathdoc},
     volume = {120},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a5/}
}
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A. Yu. Babanskii; Yu. A. Sitenko. Vacuum energy induced by a singular magnetic vortex. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 72-81. http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a5/