Haag-Ruelle Scattering Theory and the Single-Particle Problem in the Wightman Framework

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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