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On free nets over Minkowski space

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URI: https://hdl.handle.net/10016/6853
ISSN: 0034-4877
DOI: 10.1016/0034-4877(96)83512-9
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free_lledo_rmp_1995_ps.pdf (849.33 KB)
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1995-02
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Elsevier
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Abstract
Using standard results on CAR- and CCR-theory and on representation theory of the Poincaré group a direct way to construct nets of local C*-algebras satisfying Haag-Kastler's axioms is given. No explicite use of any field operator or of any concrete representation of the algebra is made. The nets are associated to models of mass m ≥ 0 and arbitrary spin or helicity. Finally, Fock states satisfying the spectrality condition are specified.
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27 pages, no figures.-- MSC2000 codes: 46L60, 81T05.
MR#: MR1369988 (96m:81132)
Zbl#: Zbl 0883.46040
Keywords
CAR-theory, CCR-theory, Representation theory, Poincaré group, Local C*-algebras, Haag-Kastler's axioms, Spin, Helicity
Bibliographic citation
Reports on Mathematical Physics, 1995, vol. 35, n. 1, p. 101-127
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