### 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 | |

Publication status | Published - 1982 Feb 25 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

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

**Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem.** / Ueno, Kimio; Nakamura, Y.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 109, no. 4, pp. 273-278. https://doi.org/10.1016/0370-2693(82)90434-8

}

TY - JOUR

T1 - Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem

AU - Ueno, Kimio

AU - Nakamura, Y.

PY - 1982/2/25

Y1 - 1982/2/25

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.

UR - http://www.scopus.com/inward/record.url?scp=0001254434&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001254434&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(82)90434-8

DO - 10.1016/0370-2693(82)90434-8

M3 - Article

AN - SCOPUS:0001254434

VL - 109

SP - 273

EP - 278

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -