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2009 Class. Quantum Grav. 26 075003 (14pp) doi: 10.1088/0264-9381/26/7/075003
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Abstract. We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated with a massive self-interacting scalar field is evaluated, up to the first-order level in the coupling constant λ, for the case of the 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, which renders the one-loop two-point correlation function finite in the de Sitter Euclidean metric.
PACS numbers: 03.70+k, 04.62.+v
Print publication: Issue 7 (7 April 2009) |
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