We study the long time dynamics of a quantum version of the Sherrington-Kir
kpatrick model. Time reparametrizations of the dynamical equations have a p
arallel with renormalization group transformations; in this language the lo
ng time behavior of this model is controlled by a reparametrization group (
R(rho)G) fixed point of the classical dynamics. The irrelevance of quantum
terms in the dynamical equations in the aging regime explains the classical
nature of the out or equilibrium fluctuation-dissipation relation.