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Spin 1/2 Field Theory in the de Sitter space-time

M. V. Takook
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Abstract

A covariant quantization of the free spinor fields (s=1/2) in 4-dimensional de Sitter (dS) space-time based on analyticity in the complexified pseudo-Riemanian manifold is presented. We define the Wigthman two-point function ${\cal W}(x,y)$, which satisfies the conditions of: a) positivity, b) locality, c) covariance, and d) normal analyticity. Then the Hilbert space structure and the field operators $ψ(f)$ are defined. A coordinate-independent formula for the unsmeared field operator $ψ(x)$ is also given.

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M. V. Takook. 2000-05-17. Spin 1/2 Field Theory in the de Sitter space-time. https://arxiv.org/abs/gr-qc/0005077

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