2012/06/01 by M. V. Takook, A. Azizi, E. Babaian
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Covariant transformation #De Sitter space #De Sitter universe #Noncommutative and Quantum Gravity Theories #Operator (biology) #Quantization (signal processing) #Quantum Electrodynamics and Casimir Effect #de Sitter invariant special relativity #de Sitter–Schwarzschild metric #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1140/epjc/s10052-012-2026-x
published as Eur. Phys. J. C 72(2012)2026 · 24 pages, accepted for publication in Eur. Phys. J. C
openalex publication_date 2012/06/01 · arxiv created 2012/06/10 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a covariant quantization of the free "massive" spin-3/2 fields in four-dimensional de Sitter space-time based on analyticity in the complexified pseudo-Riemannian manifold. The field equation is obtained as an eigenvalue equation of the Casimir operator of the de Sitter group. The solutions are calculated in terms of coordinate-independent de Sitter plane-waves in tube domains and the null curvature limit is discussed. We give the group theoretical content of the field equation. The Wightman two-point function Si jαα'(x,x') is calculated. We introduce the spinor-vector field operator Ψα(f) and the Hilbert space structure. A coordinate-independent formula for the field operator Ψα(x) is also presented.