Instanton-anti-instanton solutions of discrete Yang-Mills equations
Mathematica Bohemica (2012)
- Volume: 137, Issue: 2, page 219-228
- ISSN: 0862-7959
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topSushch, Volodymyr. "Instanton-anti-instanton solutions of discrete Yang-Mills equations." Mathematica Bohemica 137.2 (2012): 219-228. <http://eudml.org/doc/247079>.
@article{Sushch2012,
abstract = {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.},
author = {Sushch, Volodymyr},
journal = {Mathematica Bohemica},
keywords = {Yang-Mills equations; self-dual equations; anti-self-dual equations; instanton; anti-instanton; difference equations; Yang-Mills equation; self-dual equation; anti-self-dual equation; instanton; anti-instanton; difference equation},
language = {eng},
number = {2},
pages = {219-228},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Instanton-anti-instanton solutions of discrete Yang-Mills equations},
url = {http://eudml.org/doc/247079},
volume = {137},
year = {2012},
}
TY - JOUR
AU - Sushch, Volodymyr
TI - Instanton-anti-instanton solutions of discrete Yang-Mills equations
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 2
SP - 219
EP - 228
AB - 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.
LA - eng
KW - Yang-Mills equations; self-dual equations; anti-self-dual equations; instanton; anti-instanton; difference equations; Yang-Mills equation; self-dual equation; anti-self-dual equation; instanton; anti-instanton; difference equation
UR - http://eudml.org/doc/247079
ER -
References
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- Sushch, V., Gauge-invariant discrete models of Yang-Mills equations, Mat. Zametki. 61 (1997), 742-754; English translation in Math. Notes. 61 (1997), 621-631. (1997) Zbl0935.53017MR1620141
- Sushch, V., Discrete model of Yang-Mills equations in Minkowski space, Cubo A Math. Journal. 6 (2004), 35-50. (2004) Zbl1081.81082MR2092042
- Sushch, V., A gauge-invariant discrete analog of the Yang-Mills equations on a double complex, Cubo A Math. Journal. 8 (2006), 61-78. (2006) Zbl1139.81375MR2287294
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