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arXiv · hep-th/0701068

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

Zhe. Chang·Xin. Li
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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.

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Zhe. Chang, Xin. Li. 2008-04-07. Towards a CPT Invariant Quantum Field Theory on Elliptic de Sitter Space. https://doi.org/10.1142/s0217751x08039608

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