ep - t h / 96 08 09 2 v 3 2 5 M ar 1 99 7 Wigner Representation Theory of the Poincaré Group , Localization , Statistics and the S - Matrix Bert Schroer Freie
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چکیده
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 interactionfree 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 on the string-like localization properties of the 1939 Wigner’s ”continuous spin” representations.We formulate a constructive nonperturbative program to introduce interactions into such an approach based on the Tomita-Takesaki modular theory. The new aspect is the deep relation of the latter with the scattering operator.
منابع مشابه
ep - t h / 96 08 09 2 v 1 1 4 A ug 1 99 6 Notes on the Wigner Representation Theory of the Poicaré Group , Localization and Statistics
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 framework was recently used by Brunetti, Guido and Longo in order to construct interaction-free nets of local algebras without using non-unique ”free field coordinates”. It is shown that this ...
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تاریخ انتشار 2008