2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223813We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant $λ$, for the case of de Sitter Euclidean metric. Its value for the asymptotic limit of the Markov parameter $τ\to\infty$ is exhibited. We discuss in detail the covariant stochastic regularization to render the one-loop two-point function finite in the de Sitter Euclidean metric.High Energy Physics - Theorytext