Braid group statistics in two-dimensional quantum field theory
C. Adler
TL;DR
This paper constructs localized morphisms exhibiting braid group statistics in 1+1-dimensional quantum field theory and explores their scattering behavior.
Contribution
It provides an explicit construction of localized morphisms with braid group statistics and analyzes their scattering properties in algebraic quantum field theory.
Findings
Explicit localized morphisms with braid group statistics constructed
Scattering theory of the associated quantum fields analyzed
Advances understanding of statistics in low-dimensional QFT
Abstract
Within the framework of algebraic quantum field theory, we construct explicitly localized morphisms of a Haag-Kastler net in 1+1-dimensional Minkowski space showing abelian braid group statistics. Moreover, we investigate the scattering theory of the corresponding quantum fields.
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