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

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

2007-01-09

arxiv.org/abs/hep-th/0701068v2

Int.J.Mod.Phys.A23:1821-1838,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X08039608

Consequences of Schr\"{o}dinger'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.

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