Résumé
By the introduction of locally constant prefactorization algebras at a fixed scale, we show a mathematical incarnation of the fact that observables at a given scale of a topological field theory propagate to every scale over euclidean spaces. The key is that these prefactorization algebras over$\mathbb{R}^n$are equivalent to algebras over the little$n$ -disc operad. For topological field theories with defects, we get analogous results by replacing$\mathbb{R}^n$with the spaces modelling corners$\mathbb{R}^p\times\mathbb{R}^{q}_{\geq 0}$ . As a toy example in$1d$ , we quantize, once more, constant Poisson structures.