The ground state energy of a spinor field in the background of a finite radius flux tube
| dc.creator | Bordag, M. | |
| dc.creator | Kirsten, K. | |
| dc.date | 1998-12-07 | |
| dc.date.accessioned | 2026-07-07T11:10:29Z | |
| dc.date.available | 2026-07-07T11:10:29Z | |
| dc.description | We develop a formalism for the calculation of the ground state energy of a spinor field in the background of a cylindrically symmetric magnetic field. The energy is expressed in terms of the Jost function of the associated scattering problem. Uniform asymptotic expansions needed are obtained from the Lippmann-Schwinger equation. The general results derived are applied to the background of a finite radius flux tube with a homogeneous magnetic field inside and the ground state energy is calculated numerically as a function of the radius and the flux. It turns out to be negative, remaining smaller by a factor of $α$ than the classical energy of the background except for very small values of the radius which are outside the range of applicability of QED. | |
| dc.description | 25 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9812060 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9812060 | |
| dc.identifier | Phys.Rev.D60:105019,1999 | |
| dc.identifier | doi:10.1103/PhysRevD.60.105019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190794 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The ground state energy of a spinor field in the background of a finite radius flux tube | |
| dc.type | text |