# Article

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Keywords:
Yang-Mills equations; self-dual equations; anti-self-dual equations; instanton; anti-instanton; difference equations
Summary:
We study a discrete model of the \$SU(2)\$ Yang-Mills equations on a combinatorial analog of \$\mathbb {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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