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arXiv · 2111.04831

Asymptotic Completeness in a Class of Massive Wedge-Local Quantum Field Theories in any Dimension

Maximilian Duell·Wojciech Dybalski
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Abstract

A recently developed n-particle scattering theory for wedge-local quantum field theories is applied to a class of models described and constructed by Grosse, Lechner, Buchholz, and Summers. In the BLS-deformation setting we establish explicit expressions for n-particle wave operators and the S-matrix of ordered asymptotic states, and we show that ordered asymptotic completeness is stable under the general BLS-deformation construction. In particular the (ordered) Grosse-Lechner S-matrices are non-trivial also beyond two-particle scattering and factorize into 2-particle scattering processes, which is an unusual feature in space-time dimension d > 1 + 1. Most notably, the Grosse-Lechner models provide the first examples of relativistic (wedge-local) QFT in space-time dimension d > 1 + 1 which are interacting and asymptotically complete.

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Maximilian Duell, Wojciech Dybalski. 2021-11-08. Asymptotic Completeness in a Class of Massive Wedge-Local Quantum Field Theories in any Dimension. https://doi.org/10.1007/s00220-023-04690-0

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