Quenched equals annealed at leading order in the colored SYK model

Understand

We consider a colored version of the SYK model, that is we distinguish the $D$ vector fermionic fields involved in the interaction by a color.

• We obtain the full $1/N$ series of both the quenched and annealed free energies of the model and show that at leading order the two are identical.
• The results can be used to study systematically the $1/N$ corrections to this leading order behavior.