Haag-Ruelle Scattering Theory and the Single-Particle Problem in the Wightman Framework
par
Amphithéâtre Léon Motchane
IHES
Seed Seminar of Mathematics and Physics
Winter '26: Flavors of Amplitudes
In this presentation, I will first review what purposes axiomatic quantum field theory serves and what the Wightman framework is and achieves. With that being done, I will address the question of the existence of the S-matrix in this framework, following a modern and dimension-independent approach to the Haag--Ruelle scattering; in doing so, I will put a special emphasis on the single-particle problem. With all this discussion having taken place in flat space, I will conclude by presenting some ongoing work on an AdS space version of these arguments.
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Matteo D’Achille (LMO), Aymane El Fardi (EIGSI), Veronica Fantini (LMO), Emmanuel Kammerer (CMAP), Sophie Mutzel (LPENS & CAS),
Junchen Rong (CPhT) & Francesco Russo (CPhT)