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Instanton-anti-instanton solutions of discrete Yang-Mills equations

Volodymyr Sushch — 2012

Mathematica Bohemica

We study a discrete model of the $S U (2)$ Yang-Mills equations on a combinatorial analog of $ℝ^{4}$ . Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both the techniques of a double complex and the quaternionic approach.

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