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

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

2000-05-17

arxiv.org/abs/gr-qc/0005077v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, Proceedings of the Group 21, 15-20 july 1996, Goslar, Germany

Scientific paper

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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