Radu, Eugen and Tchrakian, D. H.
(2006)
*Self-dual instanton and nonself-dual instanton-antiinstanton solutions in d=4 Yang-Mills theory.*
Physics Letters B, 636 (3-4).
pp. 201-206.
ISSN 03702693

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## Abstract

Subjecting the SU(2) Yang–Mills system to azimuthal symmetries in both the x − y and the z − t planes results in a residual subsystem described by a U(1) Higgs like model with two complex scalar fields on the quarter plane. The resulting instantons are labeled by integers (m,n_1,n_2) with topological charges q = (1/2)[1 − (−1)^m](n_1)(n_2). Solutions are constructed numerically for m = 1, 2, 3 and a range of n 1 = n 2 = n. It is found that only the m = 1 instantons are self-dual, the m > 1 configurations describing composite instanton-antiinstanton lumps.

Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 05 Oct 2017 19:23 |

Last Modified: | 16 Dec 2022 02:26 |

URI: | https://dair.dias.ie/id/eprint/192 |

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