Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
-
Volodymyr Sushch
volodymyr.sushch@tu.koszalin.pl
Downloads
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.
Keywords
Most read articles by the same author(s)
- Volodymyr Sushch, Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
Similar Articles
- Ioannis K. Argyros, Santhosh George, Extended domain for fifth convergence order schemes , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Franco Fagnola, Damiano Poletti, Emanuela Sasso, Energy transfer in open quantum systems weakly coupled with two reservoirs , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Jyotirmoy Mouley, M. M. Panja, B. N. Mandal, Approximate solution of Abel integral equation in Daubechies wavelet basis , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Homero G. Díaz-Marín, Osvaldo Osuna, Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Abderrahim Guerfi, Abdelouaheb Ardjouni, Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Fouad Fredj, Hadda Hammouche, On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Bapurao C. Dhage, John R. Graef, Shyam B. Dhage, Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Liancheng Wang, Bo Yang, New upper estimate for positive solutions to a second order boundary value problem with a parameter , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Manoj Bhardwaj, Alexander V. Osipov, Some observations on a clopen version of the Rothberger property , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
<< < 12 13 14 15 16 17 18 19 > >>
You may also start an advanced similarity search for this article.