Self-Adjointness and Polarization of the Fermionic Vacuum in the Background of Nontrivial Topology
Abstract
Singular configuration of an external static magnetic field in the form of a string polarizes vacuum in the secondly quantized theory on a plane which is orthogonal to the string axis. We consider the most general boundary conditions at the punctured singular point, which are compatible with the self-adjointness of the two-dimensional Dirac Hamiltonian. The dependence of the induced vacuum quantum numbers on the self-adjoint extension parameter and the flux of the string is determined.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 1997
- DOI:
- 10.48550/arXiv.hep-th/9710130
- arXiv:
- arXiv:hep-th/9710130
- Bibcode:
- 1997hep.th...10130S
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 13 pages, LaTeX2e, 4 figures. Talk presented at the International Workshop "Mathematical Physics-today, Priority Technologies-for tomorrow" (in honour of the 70th anniversary of Professor Walter Thirring's birth), 12-17 May, Kyiv, Ukraine