Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex

Volodymyr Sushch

doi:10.4067/S0719-06462010000300007

Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex

Authors

Volodymyr Sushch Koszalin University of Technology, Sniadeckich 2, 75-453 Koszalin, Poland.

DOI:

https://doi.org/10.4067/S0719-06462010000300007

Keywords:

Yang-Mills equations, self-dual and anti-self-dual equations, instantons and anti-instantons, difference equations

Abstract

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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Published

2010-10-01

How to Cite

[1]

V. Sushch, “Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex”, CUBO, vol. 12, no. 3, pp. 99–120, Oct. 2010.