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arXiv · 2509.09257

Anti-de Sitter, plane waves and quantum field theory

Ugo Moschella
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Abstract

We present a new plane-wave expansion of the Wightman functions of anti de Sitter scalar fields and showcase its conceptual and technical importance in AdS quantum field theory. We deduce from it a new integral representation of the Feynman propagator which helps in clarifying the relation between AdS Euclidean and Lorentzian Feynman diagrams in concrete examples. The plane-wave expansion makes it possible also to demonstrate numerous new nontrivial formulas for Bessel and Legendre functions, and we provide two examples.

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Ugo Moschella. 2025-09-11. Anti-de Sitter, plane waves and quantum field theory. https://arxiv.org/abs/2509.09257

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