1999/03/30 by Yurii A. Sitenko, YURII A. SITENKO · 1 citation
Physics and Astronomy · #Boundary value problem #Chiral symmetry breaking #Field (mathematics) #Massless particle #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Spinor #Symmetry (geometry) #Symmetry breaking #Topological Materials and Phenomena #Topological defect #Vacuum expectation value #Vortex #hep-th
paper · pdf · doi:10.1142/s0217732399000742
published as Mod.Phys.Lett. A14 (1999) 701-708 · LaTeX2e, 14 pages
arxiv created 1999/03/30 · openalex publication_date 1999/04/10 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.