Chiral symmetry breaking as a consequence of nontrivial spatial topology

Details Chiral symmetry breaking as a consequence of nontrivial spatial topology Chiral symmetry breaking as a consequence of nontrivial spatial topology

1999-03-30

arxiv.org/abs/hep-th/9903253v1

Mod.Phys.Lett. A14 (1999) 701-708

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 14 pages

Scientific paper

A singular configuration of external static magnetic field in the form of a pointlike vortex polarizes the vacuum of quantized massless spinor field in 2+1-dimensional space-time. This results in an analogue of the Bohm-Aharonov effect: the chiral symmetry breaking condensate, energy density and current emerge in the vacuum even in the case when the spatial region of nonvanishing external field strength is excluded. The dependence of the vacuum characteristics both on the value of the vortex flux and on the choice of the boundary condition at the location of the vortex is determined.

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