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Self-dual and non-self dual axially symmetric caloron solutions in SU(2) Yang-Mills theory

Ya. M. Shnir
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Abstract

New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers $m,n$. It is shown that besides known, charge one self-dual periodic instanton solution, there are other non-self dual solutions of the Yang-Mills equations naturally composed out of pseudoparticle constituents.

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Ya. M. Shnir. 2007-01-08. Self-dual and non-self dual axially symmetric caloron solutions in SU(2) Yang-Mills theory. https://arxiv.org/abs/hep-th/0609019

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