Quantum chromodynamics on a tetrahedron atNc=∞

Abstract

We show how the $N_c=\infty$ limit for the single-link integral can be extracted from the finite-$N_c$ solution both in the weak- and in the strong-coupling regimes. This result is used to provide a complete $N_c=\infty$ solution for quantum chromodynamics on a tetrahedron, thus implicitly providing a solution to the Makeenko-Migdal equation for a three-dimensional (albeit elementary) lattice system.