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http://hdl.handle.net/10016/6853
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| Title: | On free nets over Minkowski space |
| Author(s): | Baumgärtel, Hellmut
Jurke, Matthias
Lledó, Fernando |
| Publisher: | Elsevier |
| Issued date: | Feb-1995 |
| Citation: | Reports on Mathematical Physics, 1995, vol. 35, n. 1, p. 101-127 |
| URI: | http://hdl.handle.net/10016/6853 |
| ISSN: | 0034-4877 |
| DOI: | 10.1016/0034-4877(96)83512-9 |
| Description: | 27 pages, no figures.-- MSC2000 codes: 46L60, 81T05.
MR#: MR1369988 (96m:81132)
Zbl#: Zbl 0883.46040 |
| 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. |
| Sponsor: | First author (H.B.) was partly supported by DFG; SFB 288: “Differentialgeometrie und Quantenphysik”. Second author (M.J.) was supported by DFG; SFB 288: “Differentialgeometrie und Quantenphysik”. Third author (F. Ll.) was supported by a grant of the Spanish Ministry of Education/CICYT. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/0034-4877(96)83512-9 |
| Keywords: | CAR-theory
CCR-theory
Representation theory
Poincaré group
Local C*-algebras
Haag-Kastler's axioms
Spin
Helicity |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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