https://doi.org/10.1140/epjc/s10052-012-2026-x
Regular Article - Theoretical Physics
Covariant quantization of “massive” spin-
fields in the de sitter space
1
Department of Physics, Razi University, Kermanshah, Iran
2
Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran
* e-mail: takook@razi.ac.ir
Received:
9
March
2012
Revised:
28
April
2012
Published online:
7
June
2012
We present a covariant quantization of the free “massive” spin- 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 
is calculated. We introduce the spinor-vector field operator Ψ
α
(f) and the Hilbert space structure. A coordinate-independent formula for the field operator Ψ
α
(x) is also presented.
© Springer-Verlag / Società Italiana di Fisica, 2012
