Confining solutions of $(n+1)$-dimensional Yang-Mills equations for flat and curved space-time with $n\le 3$

Abstract

We obtain exact static solutions of the $(n+1)$-dimensional SU(3) Yang-Mills equations for both flat and curved space-time cases with $n\le 3$. We find that the solutions obtained are confining functions for $n=1,2,3$. We apply the $(3+1)$ curved space-time solution to the anti-de Sitter and Schwarzschild metrics.

12 pages