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Keywords:
Yang-Mills equations; self-dual equations; anti-self-dual equations; instanton; anti-instanton; difference equations
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.
References:
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