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Quantum Numbers of the Theta Vacuum in (2+1)-Dimensional Spinor Electrodynamics: Charge and Magnetic Flux

Yu. A. Sitenko·D. G. Rakityansky
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Abstract

A singular configuration of an external static vector field in the form of a magnetic string polarizes the vacuum of a second-quantized theory on the plane orthogonal to the string axis. The most general boundary conditions at the punctured singular point that are compatible with the self-adjointness of two-dimensional Dirac Hamiltonian are considered. The dependences of the induced vacuum quantum numbers on the parameter of the self-adjoint extension, on the string flux, and on the choice of irreducible representation of the matrices in (2+1)-dimensional spacetime are disscussed.

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Yu. A. Sitenko, D. G. Rakityansky. 1998-02-09. Quantum Numbers of the Theta Vacuum in (2+1)-Dimensional Spinor Electrodynamics: Charge and Magnetic Flux. https://arxiv.org/abs/hep-th/9802054

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