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

Yu. A. Sitenko; D. G. Rakityansky

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arXiv · hep-th/9710130

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

Yu. A. Sitenko·D. G. Rakityansky

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Abstract

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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Yu. A. Sitenko, D. G. Rakityansky. 1997-10-16. Self-Adjointness and Polarization of the Fermionic Vacuum in the Background of Nontrivial Topology. https://arxiv.org/abs/hep-th/9710130

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