Self-dual instanton and nonself-dual instanton-antiinstanton solutions in d=4 Yang-Mills theory

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
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	05 Oct 2017 19:23
Last Modified:	16 Jul 2018 11:16
URI:	http://dair.dias.ie/id/eprint/192

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