Modular theory and the reconstruction of four-dimensional quantum field theories

Journal of Mathematical Physics

Volumn 42, Issue 1, 2001, Pages 74-86

  Kähler, Ralf ^a   Wiesbrock, Hans Werner ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035580575     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1327597     Document Type: Article

References (14)

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3. H. Reeh and S. Schlieder, "Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern," Nuovo Cimento 22, 1051 (1961).
4. M. Takesaki, Tomita's Theory of Modular Hilbert Algebras and its Applications (Springer-Verlag, Berlin, 1970), LNM 126.
5. J. Bisognano and E. Wichmann, "On the duality condition for a Hermitian scalar field," J. Math. Phys. 16, 985 (1975).
6. H.-J. Borchers, "The CTP-theorem in two-dimensional theories of local observables," Commun. Math. Phys. 143, 315 (1992).
7. H.-W. Wiesbrock, "Half-sided modular inclusions of von-Neumann-algebras," Commun. Math. Phys. 157, 83 (1993).
8. H.-W. Wiesbrock, "Symmetries and half-sided modular inclusions of von-Neumann-algebras," Lett. Math. Phys. 28, 107 (1993).
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10. H. Araki and L. Zsido, "An extension of the structure theorem of Borchers with application to half sided modular inclusions" (unpublished).
11. M. Florig, "On Borchers' theorem" (preprint 1998).
12. H.-J. Borchers, "Half-sided modular inclusion and the construction of the Poincaré group," Commun. Math. Phys. 179, 703 (1996).
13. H. J. Borchers, "On the revolutionization of quantum field theory by tomitas modular theory" (LQP preprint No. 99042900).
14. R. Kähler, "Darstellung der Poincaré-gruppe in 3+1 dimensionen durch modulare gruppen," Diploma thesis, FU-Berlin, 1999.