Stochastic Quantization of Scalar Fields in de Sitter Spacetime

We 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 → ∞ 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. PACS numbers: 03.70+k, 04.62.+v e-mail: [email protected] e-mail: [email protected] e-mail: [email protected]