Details
| Original language | English |
|---|---|
| Pages (from-to) | 145-155 |
| Number of pages | 11 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 625 |
| Issue number | 1-2 |
| Publication status | Published - 6 Oct 2005 |
Abstract
We demonstrate the construction of solitons for a time-space Moyal-deformed integrable U(n) sigma model (the Ward model) in 2+1 dimensions. These solitons cannot travel parallel to the noncommutative spatial direction. For the U(1) case, the rank-one single-soliton configuration is constructed explicitly and is singular in the commutative limit. The projection to 1+1 dimensions transforms it to a noncommutative instanton-like configuration. The latter is governed by a new integrable equation, which describes a Moyal-deformed sigma model with a particular Euclidean metric and a magnetic field.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 625, No. 1-2, 06.10.2005, p. 145-155.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Time-space noncommutative Abelian solitons
AU - Chu, Chong Sun
AU - Lechtenfeld, Olaf
N1 - Funding Information: The authors would like to thank the organizers of the Bayrischzell Workshop 2005 for organizing a stimulating meeting, where the main ideas of this work were conceived. C.S.C. thanks T. Inami for helpful discussions on integrable systems. O.L. thanks A.D. Popov for helpful comments. C.S.C. acknowledges the support of EPSRC through an advanced fellowship. The work of O.L. is partially supported by the Deutsche Forschungsgemeinschaft (DFG). Copyright: Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2005/10/6
Y1 - 2005/10/6
N2 - We demonstrate the construction of solitons for a time-space Moyal-deformed integrable U(n) sigma model (the Ward model) in 2+1 dimensions. These solitons cannot travel parallel to the noncommutative spatial direction. For the U(1) case, the rank-one single-soliton configuration is constructed explicitly and is singular in the commutative limit. The projection to 1+1 dimensions transforms it to a noncommutative instanton-like configuration. The latter is governed by a new integrable equation, which describes a Moyal-deformed sigma model with a particular Euclidean metric and a magnetic field.
AB - We demonstrate the construction of solitons for a time-space Moyal-deformed integrable U(n) sigma model (the Ward model) in 2+1 dimensions. These solitons cannot travel parallel to the noncommutative spatial direction. For the U(1) case, the rank-one single-soliton configuration is constructed explicitly and is singular in the commutative limit. The projection to 1+1 dimensions transforms it to a noncommutative instanton-like configuration. The latter is governed by a new integrable equation, which describes a Moyal-deformed sigma model with a particular Euclidean metric and a magnetic field.
UR - http://www.scopus.com/inward/record.url?scp=24344446853&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2005.08.054
DO - 10.1016/j.physletb.2005.08.054
M3 - Article
AN - SCOPUS:24344446853
VL - 625
SP - 145
EP - 155
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -