Matrix at slow roll: nonrelativistic and perturbative

Abstract

We analyze the slow roll dynamics of the massive version of Yang–Mills-type matrix mechanics. We find that one can reproduce in this limit the one-loop non-Hermitian matrix model, describing the dilatations of the local gauge invariant composite operators in the scalar sector of super Yang–Mills theory. This possibility is explained through the fact that the dilatation operator of the last can be identified with the radial-time Hamiltonian. We also explore the finite mass corrections to the slow roll action.