### 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 |
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Pages (from-to) | 273-278 |

Number of pages | 6 |

Journal | Physics Letters B |

Volume | 109 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1982 Feb 25 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Ueno, K., & Nakamura, Y. (1982). Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem.

*Physics Letters B*,*109*(4), 273-278. https://doi.org/10.1016/0370-2693(82)90434-8