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arxiv: gr-qc/0005077 · v1 · pith:QB5NTF5Bnew · submitted 2000-05-17 · 🌀 gr-qc

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

classification 🌀 gr-qc
keywords fieldanalyticitysitterspace-timecomplexifiedconditionscoordinate-independentcovariance
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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 $\psi (f)$ are defined. A coordinate-independent formula for the unsmeared field operator $\psi (x)$ is also given.

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