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

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DOI:

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

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.

Keywords

Yang-Mills equations , self-dual and anti-self-dual equations , instantons and anti-instantons , difference equations
  • Volodymyr Sushch Koszalin University of Technology, Sniadeckich 2, 75-453 Koszalin, Poland.
  • Pages: 99–120
  • Date Published: 2010-10-01
  • Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

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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.

Issue

Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

Section

Articles