Geodesic
Instanton-anti-instanton solutions of discrete Yang-Mills equations
Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 219-228

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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.
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.
DOI : 10.21136/MB.2012.142867
Classification : 39A12, 81T13, 81T25
Keywords: Yang-Mills equations; self-dual equations; anti-self-dual equations; instanton; anti-instanton; difference equations 
Sushch, Volodymyr. Instanton-anti-instanton solutions of discrete Yang-Mills equations. Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 219-228. doi: 10.21136/MB.2012.142867
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