Vacuum energy induced by an impenetrable flux tube of finite radius

Details Vacuum energy induced by an impenetrable flux tube of finite radius Vacuum energy induced by an impenetrable flux tube of finite radius

2011-09-14

arxiv.org/abs/1109.3068v2

International Journal of Modern Physics A, Vol.26, No.22 (2011) 3889--3899

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 8 figures, journal version, abstract extended. arXiv admin note: substantial text overlap with arXiv:0911.2877

Scientific paper

10.1142/S0217751X11054346

We consider the effect of the magnetic field background in the form of a tube of the finite transverse size on the vacuum of the quantized charged massive scalar field which is subject to the Dirichlet boundary condition at the edge of the tube. The vacuum energy is induced, being periodic in the value of the magnetic flux enclosed in the tube. Our previous study in J. Phys. A: Vol.43, 175401 (2010) is extended to the case of smaller radius of the tube and larger distances from it. The dependence of the vacuum energy density on the distance from the tube and on the coupling to the space-time curvature scalar is comprehensively analyzed.

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