The Construction of Pointlike Localized Charged Fields from Conformal Haag-Kastler Nets

Letters in Mathematical Physics

Volumn 38, Issue 3, 1996, Pages 257-274

  Jòrß, Martin ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Conformal field theory; Haag kastler nets; PCT theorem; Spin statistics theorem; Wightman axioms

Indexed keywords

EID: 0039206513     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00398350     Document Type: Article

References (27)

1. Araki, H.: Positive cones for von Neumann algebras, Report in the Proceedings of the Kingston Conference, 1980.
2. Brunetti, R., Guido, D. and Longo, R.: Comm. Math. Phys. 156 (1993) 201.
3. Bisognano, J. J. and Wichmann, E. H.: On the duality condition for a hermitian scalar field; On the duality condition for a quantum field, J. Math. Phys. 16 (1975), 985-1007.
4. Borchers, H. J.: The CPT-theorem in two-dimensional theories of local observables, Comm. Math. Phys. 134 (1992) 315.
5. Bratelli, O. and Robinson, D. W.: Operator Algebras and Quantum Statistical Mechanics I, Springer-Verlag, New York, 1979.
6. Buchholz, D.: On the manifestation of particles, DESY-Preprint 93-155 and report in the proceedings of the Beer Sheva Conference, 1993.
7. Buchholz, D. and Fredenhagen, K.: Dilations and interactions, J. Math. Phys. 18 (1977), 1107-1111.
8. Forster, O.: Riemannsche Flächen, Springer-Verlag, Berlin, 1977.
9. Fredenhagen, K.: A remark on the Cluster Theorem, Comm. Math. Phys. 97 (1985), 461.
10. Fredenhagen, K. and Jörß, M.: Conformal Haag-Kastler nets, pointlike localized fields and the existence of operator product expansions, Comm. Math. Phys. 176 (1996), 541-554.
11. Fredenhagen, K., Rehren, K.-H. and Schroer, B.: Superselection sectors with braid group statistics and exchange algebra I, Comm. Math. Phys. 125 (1989), 201.
12. Fredenhagen, K., Rehren, K.-H. and Schroer, B.: Superselection sectors with braid group statistics and exchange algebra II, Rev. Math. Phys., special issue (1992), 113.
13. Fröhlich, J. and Gabbiani, F.: Operator algebras and conformal field theory, Comm. Math. Phys. 155 (1993) 569.
14. Guido, D. and Longo, R.: The conformal spin and statistics theorem, hep-th/9505059.
15. Haag, R.: Local Quantum Physics, Springer-Verlag, Berlin, 1992.
16. Isola, T.: Modular structure for the crossed product by a compact group dual, to appear in J. Operator Theory.
17. Jörß, M.: Lokale Netze auf dem eindimensionalen Lichtkegel, Diploma thesis, FU Berlin, 1991.
18. Jörß, M.: On the existence of pointlike localized fields in conformally invariant quantum physics, DESY-preprint 92-156 and report in the Proceedings of the Cambridge Conference, 1992.
19. 2(ℝ), Springer-Verlag, Berlin, 1975.
20. Lüscher, M.: Operator product expansions on the vacuum in conformal quantum field theory in two space-time dimensions, Comm. Math. Phys. 50 (1976) 23-52.
21. Mack, G.: Convergence of operator product expansions on the vacuum in conformally invariant quantum field theory, Comm. Math. Phys. 53 (1976), 155.
22. Schroer, B., Swieca, J. A. and Völkel, A. H.: Global operator expansions in conformally invariant relativistic quantum field theory, Phys. Rev. D 11(6) (1974), 1509.
23. Strebel, K.: Vorlesungen über Riemannsche Flächen, Vandenhoeck und Ruprecht; 1980.
24. Streater, R. and Wightman, A.S.: PCT, Spin & Statistics, and All That, Benjamin, New York, 1964.
25. Takesaki, M.: Tomita's Theory of Modular Hilbert Algebras and its Applications, Springer-Verlag, Berlin, 1970.
26. Treves, F.: Topological Vector Spaces, Distributions and Kernels, Academic Press, New York, 1967.
27. Wilson, R.: Non-Lagrangian models of current algebras, Phys. Rev. 179(5) (1969), 1499.