On the stability of the Quantum Hall Soliton

Citation
I. Bena et A. Nudelman, On the stability of the Quantum Hall Soliton, J HIGH EN P, 2000(12), 2000, pp. NIL_352-NIL_363
Citations number
3
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2000
Issue
12
Year of publication
2000
Pages
NIL_352 - NIL_363
Database
ISI
SICI code
1029-8479(200012)2000:12<NIL_352:OTSOTQ>2.0.ZU;2-K
Abstract
In this note we investigate the stability of the classical ground state of the Quantum Hall Soliton proposed recently in hep-th/0010105. We explore tw o possible perturbations which are not spherically symmetric and we find th at the potential energy decreases in both case. This implies that the syste m either decays or is dynamically stabilized (because of the presence of ma gnetic fields). If one makes an extra assumption that in the real quantum t reatment of the problem string ends and D0-branes move together (as electro ns and vortices in the Quantum Hall effect), a static equilibrium configura tion is possible.