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N-Particle Scattering in Relativistic Wedge-Local Quantum Field Theory

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Abstract

Multi-particle scattering states are constructed for massive Wigner particles in the general operator-algebraic setting of wedge-local quantum field theory. The apparent geometrical restriction of the conventional wedge-local Haag–Ruelle argument to two-particle scattering states is overcome with a swapping symmetry argument based on wedge duality.

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Acknowledgements

I am deeply indebted to Wojciech Dybalski for many valuable suggestions and his continuous support. Further I would like thank Detlev Buchholz for comments and communicating Lemma 3, Daniela Cadamuro for helpful discussions, and Yoh Tanimoto for comments on swapping and the foundations of Tomita-Takesaki theory. I also gratefully acknowledge funding by the DFG within Grant DY107/2-1.

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  1. Zentrum Mathematik, Technische Universität München, 85747, Garching, Germany

    Maximilian Duell

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  1. Maximilian Duell
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Correspondence to Maximilian Duell.

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Communicated by Y. Kawahigashi

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Duell, M. N-Particle Scattering in Relativistic Wedge-Local Quantum Field Theory. Commun. Math. Phys. 364, 203–232 (2018). https://doi.org/10.1007/s00220-018-3183-z

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