Details
| Original language | English |
|---|---|
| Pages (from-to) | 1297-1315 |
| Number of pages | 19 |
| Journal | Journal of high energy physics |
| Volume | 6 |
| Issue number | 12 |
| Publication status | Published - 1 Dec 2002 |
Abstract
Almost all known instanton solutions in noncommutative Yang-Mills theory have been obtained in the modified ADHM scheme. In this paper we employ two alternative methods for the construction of the self-dual U(2) BPST instanton on a noncommutative euclidean four-dimensional space with self-dual noncommutativity tensor. Firstly, we use the method of dressing transformations, an iterative procedure for generating solutions from a given seed solution, and thereby generalize Belavin's and Zakharov's work to the noncommutative setup. Secondly, we relate the dressing approach with Ward's splitting method based on the twistor construction and rederive the solution in this context. It seems feasible to produce nonsingular noncommutative multi-instantons with these techniques.
Keywords
- Integrable Equations in Physics, 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. 6, No. 12, 01.12.2002, p. 1297-1315.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Noncommutative instantons via dressing and splitting approaches
AU - Horváth, Zalán
AU - Lechtenfeld, Olaf
AU - Wolf, Martin
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2002/12/1
Y1 - 2002/12/1
N2 - Almost all known instanton solutions in noncommutative Yang-Mills theory have been obtained in the modified ADHM scheme. In this paper we employ two alternative methods for the construction of the self-dual U(2) BPST instanton on a noncommutative euclidean four-dimensional space with self-dual noncommutativity tensor. Firstly, we use the method of dressing transformations, an iterative procedure for generating solutions from a given seed solution, and thereby generalize Belavin's and Zakharov's work to the noncommutative setup. Secondly, we relate the dressing approach with Ward's splitting method based on the twistor construction and rederive the solution in this context. It seems feasible to produce nonsingular noncommutative multi-instantons with these techniques.
AB - Almost all known instanton solutions in noncommutative Yang-Mills theory have been obtained in the modified ADHM scheme. In this paper we employ two alternative methods for the construction of the self-dual U(2) BPST instanton on a noncommutative euclidean four-dimensional space with self-dual noncommutativity tensor. Firstly, we use the method of dressing transformations, an iterative procedure for generating solutions from a given seed solution, and thereby generalize Belavin's and Zakharov's work to the noncommutative setup. Secondly, we relate the dressing approach with Ward's splitting method based on the twistor construction and rederive the solution in this context. It seems feasible to produce nonsingular noncommutative multi-instantons with these techniques.
KW - Integrable Equations in Physics
KW - Non-Commutative Geometry
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=21444439985&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2002/12/060
DO - 10.1088/1126-6708/2002/12/060
M3 - Article
AN - SCOPUS:21444439985
VL - 6
SP - 1297
EP - 1315
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 12
ER -