Self-adjointness of the Two-Dimensional Massless Dirac Hamiltonian and Vacuum Polarization Effects in the Background of a Singular Magnetic Vortex

A massless spinor field is quantized in the background of a singular static magnetic vortex in 2+1-dimensional space-time. The method of self-adjoint extensions is employed to define the most general set of physically acceptable boundary conditions at the location of the vortex. Under these conditio...

Full description

Saved in:
Bibliographic Details
Published in:Annals of physics 2000-06, Vol.282 (2), p.167-217
Main Author: Sitenko, Yurii A.
Format: Article
Language:English
Subjects:
self-adjointness
singular vortex
vacuum polarization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A massless spinor field is quantized in the background of a singular static magnetic vortex in 2+1-dimensional space-time. The method of self-adjoint extensions is employed to define the most general set of physically acceptable boundary conditions at the location of the vortex. Under these conditions, all effects of polarization of the massless fermionic vacuum in the vortex background are determined. Absence of anomaly is demonstrated, and patterns of both parity and chiral symmetry breaking are discussed.
ISSN:0003-4916
1096-035X
DOI:10.1006/aphy.2000.5999