Noncommutative instantons via dressing and splitting approaches

Zalán Horváth, Olaf Lechtenfeld, Martin Wolf

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24 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1297-1315
Number of pages19
JournalJournal of High Energy Physics
Issue number12
Publication statusPublished - Dec 1 2002



  • Integrable Equations in Physics
  • Non-Commutative Geometry
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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