Volodymyr Sushch, Koszalin University of Technology, Sniadeckich 2, 75-453 Koszalin, Poland, e-mail: volodymyr.sushch@tu.koszalin.pl
Abstract: 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.
Keywords: Yang-Mills equations, self-dual equations, anti-self-dual equations, instanton, anti-instanton, difference equations
Classification (MSC 2010): 81T13, 39A12
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