Title: Applications of hyper-complex analysis in Yang-Mills gauge theories
Authors: Krausshar, Rolf Sören ×
Tolksdorf, Juergen #
Issue Date: 2007
Publisher: Springer New York LLC
Host Document: AIP Conference Proceedings vol:936 pages:754-757
Abstract: In this paper we show how hyper-complex analysis can be used to explicitly construct self-dual $SU(2)$-Yang-Mills instanton solutions on certain classes of conformally flat $4$-manifolds.
We shall use a hyper-complex argument principle to establish a natural link between the fundamental solutions of $D \Delta f = 0$ and the second Chern class of the $SU(2)$ principal bundles over these manifolds. The considered base manifolds of the bundles are not simply-connected, in general.
Actually, the paper summarizes an extension of the
corresponding results of G\"ursey and Tze on a hyper-complex
analytical description of $SU(2)$ instantons.
ISSN: 0094-243X
Publication status: published
KU Leuven publication type: IC
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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