Wigner representation theory of the Poincaré group, localization, statistics and the S-matrix

  title={Wigner representation theory of the Poincar{\'e} group, localization, statistics and the S-matrix},
  author={B. Schroer},
  journal={Nuclear Physics},
Abstract It has been known that the Wigner representation theory for positive energy orbits permits a useful localization concept in terms of certain lattices of real subspaces of the complex Hilbert space. This “modular localization” is not only useful in order to construct interaction-free nets of local algebras without using non-unique “free field coordinates”, but also permits the study of properties of localization and braid-group statistics in low-dimensional QFT. It also sheds some light… Expand
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