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arXiv · 0809.2273

Stochastic Quantization of Scalar Fields in de Sitter Spacetime

T. C. de Aguiar·G. Menezes·N. F. Svaiter
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Abstract

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 $τ\to\infty$ 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.

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T. C. de Aguiar, G. Menezes, N. F. Svaiter. 2008-09-12. Stochastic Quantization of Scalar Fields in de Sitter Spacetime. https://doi.org/10.1088/0264-9381%2F26%2F7%2F075003

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