Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem

Kimio Ueno; Y. Nakamura

doi:10.1016/0370-2693(82)90434-8

Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem

Kimio Ueno^*, Y. Nakamura

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

55 Citations (Scopus)

Abstract

A transformation theory for the anti-self-dual Yang-Mills equations in four-dimensional euclidean space is presented from a viewpoint of the Riemann-Hilbert problem. Two types of Bäcklund transformations which give `t Hooft's N-instanton solutions are discussed.

Original language	English
Pages (from-to)	273-278
Number of pages	6
Journal	Physics Letters B
Volume	109
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(82)90434-8
Publication status	Published - 1982 Feb 25
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem",

abstract = "A transformation theory for the anti-self-dual Yang-Mills equations in four-dimensional euclidean space is presented from a viewpoint of the Riemann-Hilbert problem. Two types of B{\"a}cklund transformations which give `t Hooft's N-instanton solutions are discussed.",

author = "Kimio Ueno and Y. Nakamura",

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AU - Nakamura, Y.

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N2 - A transformation theory for the anti-self-dual Yang-Mills equations in four-dimensional euclidean space is presented from a viewpoint of the Riemann-Hilbert problem. Two types of Bäcklund transformations which give `t Hooft's N-instanton solutions are discussed.

AB - A transformation theory for the anti-self-dual Yang-Mills equations in four-dimensional euclidean space is presented from a viewpoint of the Riemann-Hilbert problem. Two types of Bäcklund transformations which give `t Hooft's N-instanton solutions are discussed.

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JO - Physics Letters B

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Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem

Abstract

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