Tree-level Scattering Amplitude in de Sitter Space

Abstract

In previous papers [1,2], it was proved that a covariant quantization of the minimally coupled scalar field in de Sitter space is achieved through addition of the negative norm states. This causal approach which eliminates the infrared divergence, was generalized further to the calculation of the graviton propagator in de Sitter space [3] and one-loop effective action for scalar field in a general curved space-time [4]. This method gives a natural renormalization of the above problems. Pursuing this approach, in the present paper the tree-level scattering amplitudes of the scalar field, with one graviton exchange, has been calculated in de Sitter space. It is shown that the infrared divergence disappears and the theory automatically reaches a renormalized solution of the problem.

6 pages

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• Casimir Effect For a Scalar Field via Krein Quantization
• One-loop approximation of Moller scattering in Krein-space quantization
• N=1 de Sitter Supersymmetry Algebra
• Entropy of Quantum Fields in de Sitter Space-time
• Onset of Fokker-Planck dynamics within a Closed Finite Spin System
• Power Spectrum in Krein Space Quantization
• Abelian Gauge Theory in de Sitter Space
• "Krein" regularization method
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• De Sitter scattering amplitudes in the Born approximation