Stochastic Quantization of Scalar Fields in de Sitter Spacetime

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 $\lambda$, for the case of de Sitter Euclidean metric. Its value for the asymptotic limit of the Markov parameter $\tau \to \infty$ 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.

References in corpus (8)

• Les Houches Lectures on De Sitter Space
• Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
• Quantum Field Theory in Curved Spacetime
• Entropy of 2+1 dimensional de Sitter space in terms of brick wall method
• Stochastic Quantization of $(\lambda {\varphi }^4{)}_d$ Scalar Theory: Generalized Langevin Equation with Memory Kernel
• Stochastic Quantization of Scalar Fields in Einstein and Rindler Spacetime
• Stochastic Quantization of Topological Field Theory: Generalized Langevin Equation with Memory Kernel
• Stochastic Quantization for Complex Actions

Cited by in corpus (4)

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• Special Relativity induced by Granular Space
• Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity
• Stochastic Quantization of Real-Time Thermal Field Theory