Self-Adjointness and Polarization of the Fermionic Vacuum in the Background of Nontrivial Topology

Details Self-Adjointness and Polarization of the Fermionic Vacuum in the Background of Nontrivial Topology Self-Adjointness and Polarization of the Fermionic Vacuum in the Background of Nontrivial Topology

1997-10-16

arxiv.org/abs/hep-th/9710130v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX2e, 4 figures. Talk presented at the International Workshop "Mathematical Physics-today, Priority Technologies-

Scientific paper

Singular configuration of an external static magnetic field in the form of a string polarizes vacuum in the secondly quantized theory on a plane which is orthogonal to the string axis. We consider the most general boundary conditions at the punctured singular point, which are compatible with the self-adjointness of the two-dimensional Dirac Hamiltonian. The dependence of the induced vacuum quantum numbers on the self-adjoint extension parameter and the flux of the string is determined.

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