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arXiv · 2302.08535

Spinors in (Anti-)de Sitter Space

Vladimir Schaub
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Abstract

We explore analytical aspects of correlators involving Dirac spinors in $d+1$- dimensional de Sitter space. Adapting the formalism of Sleight and Taronna, we show how to relate processes involving fermions in the in-in formalism to equivalent Witten diagrams in (complexified) Euclidean anti-de Sitter space. We exemplify the method for a fermion-exchange diagram. We establish a positive spectral decomposition over the principal series of the Wightman function of two spinors, showing the consequences of unitarity.

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Vladimir Schaub. 2023-02-16. Spinors in (Anti-)de Sitter Space. https://arxiv.org/abs/2302.08535

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