Scattering States of Plektons (PARTICLES with Braid Group Statistics) in 2+1 Dimensional Quantum Field Theory
K. Fredenhagen, M.R. Gaberdiel, S.M. Rueger
TL;DR
This paper develops a Haag-Ruelle scattering theory for particles with braid group statistics in 2+1 dimensions, analyzing the structure of the multiparticle Hilbert space.
Contribution
It introduces a scattering framework for plektons, particles with braid group statistics, in 2+1 dimensional quantum field theory, which was not previously established.
Findings
Established a Haag-Ruelle scattering theory for plektons.
Analyzed the multiparticle Hilbert space structure for braid group statistics.
Provided mathematical foundations for understanding plekton interactions.
Abstract
A Haag-Ruelle scattering theory for particles with braid group statistics is developed, and the arising structure of the Hilbert space of multiparticle states is analyzed.
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