Towards a CPT Invariant Quantum Field Theory on Elliptic de Sitter Space

Abstract

Consequences of Schrödinger's antipodal identification on quantum field theory in de Sitter space are investigated. The elliptic ${\mathbb{Z}}_2$ identification provides observers with complete information. We show that a suitable confinement on dimension of the elliptic de Sitter space guarantees the existence of globally defined spinors and orientable $dS/{\mathbb{Z}}_2$ manifold. In Beltrami coordinates, we give exact solutions of scalar and spinor fields. The CPT invariance of quantum field theory on the elliptic de Sitter space is presented explicitly.

16 pages, some references have been added, the structure of paper have been revised, accepted for publication in Int. J. Mod. Phys. A

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