VACUUM CURRENTS AROUND A MAGNETIC FLUX STRING

1991 ◽  
Vol 06 (29) ◽  
pp. 5327-5347 ◽  
Author(s):  
E.G. FLEKKØY ◽  
J.M. LEINAAS
Keyword(s):  
Magnetic Flux ◽  
Exact Solutions ◽  
Vacuum Polarization ◽  
Local Effects ◽  
Polarization Effects ◽  
Dirac Equations ◽  
Dimensional Effects ◽  
Current Densities

We examine vacuum polarization effects around a singular magnetic flux string in 2+1 and 3+1 dimensions. In particular we determine the local effects: charge and current densities and the flux induced by the vacuum current. The analysis is performed entirely on the basis of exact solutions to the pertinent Dirac equations, and we find that the (3+1)-dimensional effects can be described in a simple way as a superposition of the (2+1)-dimensional effects.

scholarly journals CASIMIR ENERGY AND FORCE INDUCED BY AN IMPENETRABLE FLUX TUBE OF FINITE RADIUS

2013 ◽  
Vol 28 (31) ◽  
pp. 1350161 ◽  
Author(s):  
VOLODYMYR M. GORKAVENKO ◽  
YURII A. SITENKO ◽  
OLEXANDER B. STEPANOV
Keyword(s):  
Magnetic Flux ◽  
Vacuum Polarization ◽  
Dirichlet Boundary ◽  
Topological Defect ◽  
Casimir Energy ◽  
Matter Field ◽  
Tube Radius ◽  
Finite Radius ◽  
Polarization Effects ◽  
Scalar Matter

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube. We show that the vacuum polarization effects outside the tube give rise to a macroscopic force acting at the increase of the tube radius (if the magnetic flux is held steady). The Casimir energy and force are periodic in the value of the magnetic flux, being independent of the coupling to the space–time curvature scalar. We conclude that a topological defect of the vortex type can polarize the vacuum of only those quantum fields that have masses which are much less than a scale of the spontaneous symmetry breaking.

scholarly journals Enhancement of vacuum polarization effects in a plasma

2007 ◽  
Vol 14 (3) ◽  
pp. 032102 ◽  
Author(s):  
A. Di Piazza ◽  
K. Z. Hatsagortsyan ◽  
C. H. Keitel
Keyword(s):  
Vacuum Polarization ◽  
Polarization Effects

scholarly journals Vacuum polarization effects in elastic scattering of protons by nuclei

1987 ◽  
Vol 197 (4) ◽  
pp. 493-496 ◽  
Author(s):  
N. Ottenstein ◽  
S.J. Wallace ◽  
J.A. Tjon
Keyword(s):  
Elastic Scattering ◽  
Vacuum Polarization ◽  
Polarization Effects

scholarly journals Vacuum polarization for compactified QED4+1in a magnetic flux background

2010 ◽  
Vol 81 (3) ◽  
Author(s):  
C. Ccapa Ttira ◽  
C. D. Fosco ◽  
A. P. C. Malbouisson ◽  
I. Roditi
Keyword(s):  
Magnetic Flux ◽  
Vacuum Polarization
Sign in / Sign up

Export Citation Format

Share Document