Scrambling in Yang-Mills

A bstract Acting on operators with a bare dimension ? ? N 2 the dilatation operator of U( ) $$ \mathcal{N} N = 4 super Yang-Mills theory defines 2-local Hamiltonian acting graph. Degrees freedom are associated vertices graph while edges correspond to terms in Hamiltonian. The has p vertices. Using this Hamiltonian, we study scrambling and equilibration large theory. We characterize typical thus For graph, dynamics leads time consistent fast conjecture. Further, system exhibits notion relaxation time, at weak coupling, given by t \frac{\rho }{\lambda } ? ? ? ’t Hooft coupling.