Details
| Original language | English |
|---|---|
| Pages (from-to) | 1777-1821 |
| Number of pages | 45 |
| Journal | Journal of high energy physics |
| Volume | 8 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2004 |
Abstract
The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative ℝ3 and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-monopoles and solve the corresponding Riemann-Hilbert problems for charge one.
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
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of high energy physics, Vol. 8, No. 1, 01.01.2004, p. 1777-1821.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Noncommutative monopoles and Riemann-Hilbert problems
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2004/1/1
Y1 - 2004/1/1
N2 - The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative ℝ3 and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-monopoles and solve the corresponding Riemann-Hilbert problems for charge one.
AB - The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative ℝ3 and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-monopoles and solve the corresponding Riemann-Hilbert problems for charge one.
KW - Integrable Equations in Physics
KW - Non-Commutative Geometry
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=23144454274&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2004/01/069
DO - 10.1088/1126-6708/2004/01/069
M3 - Article
AN - SCOPUS:23144454274
VL - 8
SP - 1777
EP - 1821
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 1
ER -