Details
| Original language | English |
|---|---|
| Pages (from-to) | 477-503 |
| Number of pages | 27 |
| Journal | Nuclear Physics B |
| Volume | 705 |
| Issue number | 3 |
| Publication status | Published - 24 Jan 2005 |
Abstract
Requiring an infinite number of conserved local charges or the existence of an underlying linear system does not uniquely determine the Moyal deformation of (1 + 1)-dimensional integrable field theories. As an example, 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, with some freedom in the noncommutative extension of this algebraic reduction. Relaxing the latter from U (2) → U(1) to U(2) → U (1) × U(1), we arrive at novel noncommutative sine-Gordon equations for a pair of scalar fields. The dressing method is employed to construct its multi-soliton solutions. Finally, we evaluate various tree-level amplitudes to demonstrate that our model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Nuclear Physics B, Vol. 705, No. 3, 24.01.2005, p. 477-503.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Integrable noncommutative sine-Gordon model
AU - Lechtenfeld, Olaf
AU - Mazzanti, Liuba
AU - Penati, Silvia
AU - Popov, Alexander D.
AU - Tamassia, Laura
N1 - Funding Information: L.M. and L.T. acknowledge a useful discussion with G. Mussardo. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG), INFN, MURST and the European Commission RTN program HPRN-CT-2000-00131, in which S.P. and L.M. are associated to the University of Padova. Copyright: Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2005/1/24
Y1 - 2005/1/24
N2 - Requiring an infinite number of conserved local charges or the existence of an underlying linear system does not uniquely determine the Moyal deformation of (1 + 1)-dimensional integrable field theories. As an example, 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, with some freedom in the noncommutative extension of this algebraic reduction. Relaxing the latter from U (2) → U(1) to U(2) → U (1) × U(1), we arrive at novel noncommutative sine-Gordon equations for a pair of scalar fields. The dressing method is employed to construct its multi-soliton solutions. Finally, we evaluate various tree-level amplitudes to demonstrate that our model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
AB - Requiring an infinite number of conserved local charges or the existence of an underlying linear system does not uniquely determine the Moyal deformation of (1 + 1)-dimensional integrable field theories. As an example, 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, with some freedom in the noncommutative extension of this algebraic reduction. Relaxing the latter from U (2) → U(1) to U(2) → U (1) × U(1), we arrive at novel noncommutative sine-Gordon equations for a pair of scalar fields. The dressing method is employed to construct its multi-soliton solutions. Finally, we evaluate various tree-level amplitudes to demonstrate that our model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.
UR - http://www.scopus.com/inward/record.url?scp=11344264809&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2004.10.050
DO - 10.1016/j.nuclphysb.2004.10.050
M3 - Article
AN - SCOPUS:11344264809
VL - 705
SP - 477
EP - 503
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -