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Recent Developments in Instantons in Noncommutative ℝ4
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-24
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
We review recent developments in noncommutative deformations of instantons in ℝ4.
In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncommutativity.
In the ADHM methods, there exist instantons whose commutative limits are singular.
We review smooth noncommutative deformations of instantons, spinor zero-modes, the Green's functions, and the ADHM constructions from commutative ones that have no singularities.
It is found that the instanton charges of these noncommutative instanton solutions coincide with the instanton charges of commutative instantons before noncommutative deformation.
These smooth deformations are the latest developments in noncommutative gauge theories, and we can extend the procedure to other types of solitons.
As an example, vortex deformations are studied.
American Psychological Association (APA)
Sako, Akifumi. 2010. Recent Developments in Instantons in Noncommutative ℝ4. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-28.
https://search.emarefa.net/detail/BIM-988669
Modern Language Association (MLA)
Sako, Akifumi. Recent Developments in Instantons in Noncommutative ℝ4. Advances in Mathematical Physics No. 2010 (2010), pp.1-28.
https://search.emarefa.net/detail/BIM-988669
American Medical Association (AMA)
Sako, Akifumi. Recent Developments in Instantons in Noncommutative ℝ4. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-28.
https://search.emarefa.net/detail/BIM-988669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988669