Details
| Original language | English |
|---|---|
| Pages (from-to) | 1351-1357 |
| Number of pages | 7 |
| Journal | Czechoslovak Journal of Physics |
| Volume | 54 |
| Issue number | 11 |
| Publication status | Published - Nov 2004 |
Abstract
The sine-Gordon model may be obtained by dimensional and algebraic reduction from (2+2)-dimensional self-dual U(2) Yang-Mills through a (2+1)-dimensional integrable U(2) sigma model. It is argued that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2)→U(1) × U(1). The result are novel noncommutative sine-Gordon equations for a pair of scalar fields. The dressing method is outlined for constructing its multi-soliton solutions. Finally, the tree-level amplitudes demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
Keywords
- Integrable systems, Noncommutative field theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Czechoslovak Journal of Physics, Vol. 54, No. 11, 11.2004, p. 1351-1357.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Noncommutative sine-gordon model
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2004/11
Y1 - 2004/11
N2 - The sine-Gordon model may be obtained by dimensional and algebraic reduction from (2+2)-dimensional self-dual U(2) Yang-Mills through a (2+1)-dimensional integrable U(2) sigma model. It is argued that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2)→U(1) × U(1). The result are novel noncommutative sine-Gordon equations for a pair of scalar fields. The dressing method is outlined for constructing its multi-soliton solutions. Finally, the tree-level amplitudes demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
AB - The sine-Gordon model may be obtained by dimensional and algebraic reduction from (2+2)-dimensional self-dual U(2) Yang-Mills through a (2+1)-dimensional integrable U(2) sigma model. It is argued that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2)→U(1) × U(1). The result are novel noncommutative sine-Gordon equations for a pair of scalar fields. The dressing method is outlined for constructing its multi-soliton solutions. Finally, the tree-level amplitudes demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
KW - Integrable systems
KW - Noncommutative field theory
UR - http://www.scopus.com/inward/record.url?scp=24144461343&partnerID=8YFLogxK
U2 - 10.1007/s10582-004-9800-4
DO - 10.1007/s10582-004-9800-4
M3 - Article
AN - SCOPUS:24144461343
VL - 54
SP - 1351
EP - 1357
JO - Czechoslovak Journal of Physics
JF - Czechoslovak Journal of Physics
SN - 0011-4626
IS - 11
ER -