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Scalar Casimir Effect on a Two-Dimensional Sphere with a Wu--Yang Magnetic Monopole

Zhang, Jun-Cheng et al.
arXiv (All) · Papers
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general-relativity-and-quantum-cosmologyhigh-energy-physics-theory
We investigate the Casimir effect of a complex scalar field on a two-dimensional sphere threaded by a fixed Wu--Yang magnetic monopole at the center. In this background the charged scalar field is a section of a nontrivial complex line bundle over $S^2$, reflecting the monopole's nontrivial topology
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