Self-adjointness of the Dirac hamiltonian and fermion number fractionization in the background of a singular magnetic vortex

Yu.A. Sitenko
1996 Physics Letters B  
The method of self-adjoint extensions is employed to determine the vacuum quantum numbers induced by a singular static magnetic vortex in $2+1$-dimensional spinor electrodynamics. The results obtained are gauge-invariant and, for certain values of the extension parameter, both periodic in the value of the vortex flux and possessing definite parity with respect to the charge conjugation.
doi:10.1016/0370-2693(96)01042-8 fatcat:n4az2a77lnb4nmz7ykal7ukosa