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

TL;DR

This paper derives exact static solutions to (n+1)-dimensional SU(3) Yang-Mills equations in flat and curved space-times with n ≤ 3, demonstrating confining functions and applying solutions to specific metrics.

Contribution

It provides new exact solutions for Yang-Mills equations in low-dimensional flat and curved space-times, including applications to anti-de Sitter and Schwarzschild metrics.

Findings

Solutions are confining functions for n=1, 2, 3

Exact static solutions in flat and curved space-times

Application to anti-de Sitter and Schwarzschild metrics

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.