Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 500-505 |
| Seitenumfang | 6 |
| Fachzeitschrift | Fortschritte der Physik |
| Jahrgang | 53 |
| Ausgabenummer | 5-6 |
| Publikationsstatus | Veröffentlicht - Mai 2005 |
Abstract
As I briefly review, 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. I argue 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, I look at tree-level amplitudes to demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Fortschritte der Physik, Jahrgang 53, Nr. 5-6, 05.2005, S. 500-505.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Noncommutative sine-Gordon model
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/5
Y1 - 2005/5
N2 - As I briefly review, 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. I argue 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, I look at tree-level amplitudes to demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
AB - As I briefly review, 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. I argue 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, I look at tree-level amplitudes to demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
UR - http://www.scopus.com/inward/record.url?scp=19844383844&partnerID=8YFLogxK
U2 - 10.1002/prop.200410210
DO - 10.1002/prop.200410210
M3 - Article
AN - SCOPUS:19844383844
VL - 53
SP - 500
EP - 505
JO - Fortschritte der Physik
JF - Fortschritte der Physik
SN - 0015-8208
IS - 5-6
ER -