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

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 $\mathcal{W}(x,y)$, 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.

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

Cited by in corpus (3)

• Choosing the Right Relativity for QFT
• Spherical waves of spin 1 particle in anti de Sitter space-time
• On exact solutions for quantum particles with spin S= 0, 1/2, 1 and de Sitter event horizon