We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of ℝ4. 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.
@article{1394,
title = {Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1394}
}
Sushch, Volodymyr. Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1394/