Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
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Volodymyr Sushch
volodymyr.sushch@tu.koszalin.pl
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DOI:
https://doi.org/10.4067/S0719-06462010000300007Abstract
We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of â„4. Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both techniques of a double complex and the quaternionic approach. Interesting analogies between instanton, anti-instanton solutions of discrete and continual self-dual, anti-self-dual equations are also discussed.
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