Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-31 |
| Number of pages | 31 |
| Journal | Journal of high energy physics |
| Volume | 5 |
| Issue number | 11 |
| Publication status | Published - 2001 |
Abstract
The study of non-commutative solitons is greatly facilitated if the field equations are integrable, i.e. result from a linear system. For the example of a modified but integrable U(n) sigma model in 2 + 1 dimensions we employ the dressing method to construct explicit multi-soliton configurations on non-commutative R2,1 . These solutions, abelian and non-abelian, feature exact time-dependence for any value of the noncommutativity parameter θ and describe various lumps of finite energy in relative motion. We discuss their scattering properties and prove asymptotic factorization for large times.
Keywords
- Integrable Field Theories, Non-Commutative Geometry, 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, Vol. 5, No. 11, 2001, p. 1-31.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Non-commutative multi-solitons in 2+1 dimensions
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Publisher Copyright: © 2018 Elsevier B.V., All rights reserved. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2001
Y1 - 2001
N2 - The study of non-commutative solitons is greatly facilitated if the field equations are integrable, i.e. result from a linear system. For the example of a modified but integrable U(n) sigma model in 2 + 1 dimensions we employ the dressing method to construct explicit multi-soliton configurations on non-commutative R2,1 . These solutions, abelian and non-abelian, feature exact time-dependence for any value of the noncommutativity parameter θ and describe various lumps of finite energy in relative motion. We discuss their scattering properties and prove asymptotic factorization for large times.
AB - The study of non-commutative solitons is greatly facilitated if the field equations are integrable, i.e. result from a linear system. For the example of a modified but integrable U(n) sigma model in 2 + 1 dimensions we employ the dressing method to construct explicit multi-soliton configurations on non-commutative R2,1 . These solutions, abelian and non-abelian, feature exact time-dependence for any value of the noncommutativity parameter θ and describe various lumps of finite energy in relative motion. We discuss their scattering properties and prove asymptotic factorization for large times.
KW - Integrable Field Theories
KW - Non-Commutative Geometry
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=33744768072&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2001/11/040
DO - 10.1088/1126-6708/2001/11/040
M3 - Article
AN - SCOPUS:33744768072
VL - 5
SP - 1
EP - 31
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 11
ER -