Details
| Original language | English |
|---|---|
| Pages (from-to) | 1009-1042 |
| Number of pages | 34 |
| Journal | Journal of high energy physics |
| Issue number | 3 |
| Publication status | Published - Mar 2005 |
Abstract
Noncommutative multi-solitons are investigated in euclidean two-dimensional U(n) and grassmannian sigma models, using the auxiliary Fock-space formalism. Their construction and moduli spaces are reviewed in some detail, unifying abelian and nonabelian configurations. The analysis of linear perturbations around these backgrounds reveals an unstable mode for the U(n) models but shows stability for the grassmannian case. For multi-solitons which are diagonal in the Fock-space basis we explicitly evaluate the spectrum of the hessian and identify all zero modes. It is very suggestive but remains to be proven that our results qualitatively extend to the entire multi-soliton moduli space.
Keywords
- Integrable Field Theories, Non-Commutative Geometry, Sigma Models, Solitons Monopoles and Instantons
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, No. 3, 03.2005, p. 1009-1042.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Sigma-model solitons in the noncommutative plane
T2 - Construction and stability analysis
AU - Domrin, Andrei V.
AU - Lechtenfeld, Olaf
AU - Petersen, Stefan
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2005/3
Y1 - 2005/3
N2 - Noncommutative multi-solitons are investigated in euclidean two-dimensional U(n) and grassmannian sigma models, using the auxiliary Fock-space formalism. Their construction and moduli spaces are reviewed in some detail, unifying abelian and nonabelian configurations. The analysis of linear perturbations around these backgrounds reveals an unstable mode for the U(n) models but shows stability for the grassmannian case. For multi-solitons which are diagonal in the Fock-space basis we explicitly evaluate the spectrum of the hessian and identify all zero modes. It is very suggestive but remains to be proven that our results qualitatively extend to the entire multi-soliton moduli space.
AB - Noncommutative multi-solitons are investigated in euclidean two-dimensional U(n) and grassmannian sigma models, using the auxiliary Fock-space formalism. Their construction and moduli spaces are reviewed in some detail, unifying abelian and nonabelian configurations. The analysis of linear perturbations around these backgrounds reveals an unstable mode for the U(n) models but shows stability for the grassmannian case. For multi-solitons which are diagonal in the Fock-space basis we explicitly evaluate the spectrum of the hessian and identify all zero modes. It is very suggestive but remains to be proven that our results qualitatively extend to the entire multi-soliton moduli space.
KW - Integrable Field Theories
KW - Non-Commutative Geometry
KW - Sigma Models
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=23844467587&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2005/03/045
DO - 10.1088/1126-6708/2005/03/045
M3 - Article
AN - SCOPUS:23844467587
SP - 1009
EP - 1042
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 3
ER -