Vortex configurations in the large N limit

TL;DR

This paper investigates vortex-like solutions in SU(N) Yang-Mills theory, revealing their concentration along a two-dimensional wall whose size increases with the number of colors, providing insights into large N gauge configurations.

Contribution

It introduces and analyzes vortex configurations in the large N limit, highlighting their geometric concentration and size scaling behavior.

Findings

Vortex solutions are localized along a 2D wall.

The size of these vortex configurations grows with N.

These solutions offer new perspectives on large N gauge theories.

Abstract

We study the properties of vortex-like configurations which are solutions of the SU(N) Yang-Mills classical equations of motion. We show that these solutions are concentrated along a two-dimensional wall with size growing with the number of colors.