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TOWARDS A CPT INVARIANT QUANTUM FIELD THEORY ON ELLIPTIC DE SITTER SPACE

2007/01/31 by Zhe Chang, Zhe. Chang, Xin Li +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1142/s0217751x08039608

published as Int.J.Mod.Phys.A23:1821-1838,2008 · 16 pages, some references have been added, the structure of paper have been revised, accepted for publication in Int. J. Mod. Phys. A

arxiv created 2008/04/07 · openalex publication_date 2008/05/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Consequences of Schrödinger's antipodal identification on quantum field theory in de Sitter space are investigated. The elliptic 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/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.

Citations