  We study the two-dimensional version of a quartic self-interacting quantum
scalar field on a curved and noncommutative space (Snyder-de Sitter). We show
that the model is renormalizable at the one-loop level and compute the beta
functions of the related couplings. The renormalization group flow is then
studied numerically, arriving at the conclusion that noncommutative-curved
deformations can yield both relevant and irrelevant contributions to the
one-loop effective action.
