Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-02-09
Phys.Atom.Nucl. 60 (1997) 1497-1503; Yad.Fiz. 60N9 (1997) 1643-1649
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTeX, 4 figures
Scientific paper
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.
Rakityansky D. G.
Sitenko Yu. A.
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