Details
| Original language | English |
|---|---|
| Pages (from-to) | 967-989 |
| Number of pages | 23 |
| Journal | Journal of high energy physics |
| Volume | 6 |
| Issue number | 3 |
| Publication status | Published - 1 Mar 2002 |
Abstract
We employ the twistor approach to the construction of U(2) multi-instantons à la 't Hooft on non-commutative ℝ4. The non-commutative deformation of the Corrigan-Fairlie-'t Hooft-Wilczek ansatz is derived. However, naively substituting into it the't Hooft-type solution is unsatisfactory because the resulting gauge field fails to be self-dual on a finite-dimensional subspace of the Fock space. We repair this deficiency by a suitable Murray-von Neumann transformation after a specific projection of the gauge potential. The proper non-commutative 't Hooft multi-instanton field strength is given explicitly, in a singular as well as in a regular gauge.
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. 3, 01.03.2002, p. 967-989.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Non-commutative 't Hooft instantons
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2002/3/1
Y1 - 2002/3/1
N2 - We employ the twistor approach to the construction of U(2) multi-instantons à la 't Hooft on non-commutative ℝ4. The non-commutative deformation of the Corrigan-Fairlie-'t Hooft-Wilczek ansatz is derived. However, naively substituting into it the't Hooft-type solution is unsatisfactory because the resulting gauge field fails to be self-dual on a finite-dimensional subspace of the Fock space. We repair this deficiency by a suitable Murray-von Neumann transformation after a specific projection of the gauge potential. The proper non-commutative 't Hooft multi-instanton field strength is given explicitly, in a singular as well as in a regular gauge.
AB - We employ the twistor approach to the construction of U(2) multi-instantons à la 't Hooft on non-commutative ℝ4. The non-commutative deformation of the Corrigan-Fairlie-'t Hooft-Wilczek ansatz is derived. However, naively substituting into it the't Hooft-type solution is unsatisfactory because the resulting gauge field fails to be self-dual on a finite-dimensional subspace of the Fock space. We repair this deficiency by a suitable Murray-von Neumann transformation after a specific projection of the gauge potential. The proper non-commutative 't Hooft multi-instanton field strength is given explicitly, in a singular as well as in a regular gauge.
KW - Integrable Equations in Physics
KW - Non-Commutative Geometry
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=23044504662&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2002/03/040
DO - 10.1088/1126-6708/2002/03/040
M3 - Article
AN - SCOPUS:23044504662
VL - 6
SP - 967
EP - 989
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 3
ER -