Braid Group Statistics Implies Scattering in Three-Dimensional Local Quantum Physics

@article{Bros2012BraidGS,
  title={Braid Group Statistics Implies Scattering in Three-Dimensional Local Quantum Physics},
  author={J. Bros and J. Mund},
  journal={Communications in Mathematical Physics},
  year={2012},
  volume={315},
  pages={465-488}
}
  • J. Bros, J. Mund
  • Published 2012
  • Physics, Mathematics
  • Communications in Mathematical Physics
  • AbstractIt is shown that quantum fields for massive particles with braid group statistics (Plektons) in three-dimensional space-time cannot be free, in a quite elementary sense: They must exhibit elastic two-particle scattering into every solid angle, and at every energy. This also implies that for such particles there cannot be any operators localized in wedge regions which create only single particle states from the vacuum and which are well-behaved under the space-time translations (so… CONTINUE READING
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    References

    SHOWING 1-10 OF 41 REFERENCES
    Polarization-Free Generators and the S-Matrix
    • 81
    • PDF
    Local observables and particle statistics I
    • 213
    Noncommutative Deformations of Wightman Quantum Field Theories
    • 60
    • PDF
    Locality and the structure of particle states
    • 294
    • Highly Influential
    Fock-space representation of coupled Abelian Chern-Simons theory.
    • Swanson
    • Physics, Medicine
    • Physical review. D, Particles and fields
    • 1990
    • 4
    Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories
    • 57
    • PDF
    Deformations of Quantum Field Theories and Integrable Models
    • 51
    • PDF