Recent Developments in Instantons in Noncommutative ℝ𝟒

Autor: Akifumi Sako
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2010 (2010)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2010/270694
Popis: 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.
Databáze: Directory of Open Access Journals
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