Dang, Nguyen VietHerscovich, Estanislao2024-01-122024-01-122024-01-12201910.1142/S0129055X1950017Xhttps://infoscience.epfl.ch/handle/20.500.14299/202911In this paper, we provide a simple pedagogical proof of the existence of covariant renormalizations in Euclidean perturbative quantum field theory on closed Riemannian manifolds, following the Epstein–Glaser philosophy. We rely on a local method that allows us to extend a distribution defined on an open set Ω⊆M to the whole manifold M.Renormalizationdistributionstext::journal::journal article::research article