Tomita conjugations and transitivity of locality
Yngvason, Jakob
Annales de l'I.H.P. Physique théorique, Tome 65 (1996), p. 395-408 / Harvested from Numdam
Publié le : 1996-01-01
@article{AIHPA_1996__64_4_395_0,
     author = {Yngvason, Jakob},
     title = {Tomita conjugations and transitivity of locality},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {65},
     year = {1996},
     pages = {395-408},
     mrnumber = {1407753},
     zbl = {0865.46056},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1996__64_4_395_0}
}
Yngvason, Jakob. Tomita conjugations and transitivity of locality. Annales de l'I.H.P. Physique théorique, Tome 65 (1996) pp. 395-408. http://gdmltest.u-ga.fr/item/AIHPA_1996__64_4_395_0/

[1] H.J. Borchers and J. Yngvason, Transitivity of locality and duality in quantum field theory. Some modular aspect, Rev. Math. Phys., Vol. 6, 1994, pp. 597-619. | MR 1290690 | Zbl 0814.46065

[2] H.J. Borchers and J. Yngvason From Quantum Fields to Local von Neumann Algebras, Rev. Math. Phys., Special Issue, 1992, pp. 15-47. | MR 1199168 | Zbl 0785.46062

[3] H.J. Borchers and W. Zimmermann, On the Self-Adjointness of Field Operators, Nuovo Cimento, Vol. 31, 1964, pp. 1047-1059. | MR 161607 | Zbl 0151.44303

[4] D. Buchholz and K. Fredenhagen, Locality and the structure of particle states, Commun. Math. Phys., Vol. 84, 1982, pp. 1-54. | MR 660538 | Zbl 0498.46061

[5] W. Driessler and J. Fröhlich, The reconstruction of local observable algebras from Euclidean Green's functions of relativistic quantum field theory, Ann. Inst. Henri Poincaré, Vol. 27, 1977, pp. 221-236. | Numdam | MR 484123 | Zbl 0364.46051

[6] J. Glimm and A. Jaffe A. Quantum Physics, Berlin-Heidelberg-New York: Springer, 1981. | MR 628000 | Zbl 0461.46051

[7] W. Driessler, S. Summers and E.H. Wichmann, On the Connection between Quantum Fields and von Neumann Algebras of Local Observables, Commun. Math. Phys., Vol. 105, 1986, pp. 49-84. | MR 847127 | Zbl 0595.46062

[8] D. Buchholz, On Quantum Fields that Generate Local Algebras, J. Math. Phys., Vol. 31, 1990, pp. 1839-1846. | MR 1067624 | Zbl 0708.46061

[9] H.J. Borchers and J. Yngvason, Positivity of Wightman Functionals and the Existence of Local Nets, Commun. Math. Phys., Vol. 127, 1990, pp. 607-615. | MR 1040898 | Zbl 0715.46044

[10] J. Bisognano and E.H. Wichmann, On the duality condition for a Hermitean scalar field, J. Math. Phys., Vol. 16, 1975, pp. 985-1007. | MR 438943 | Zbl 0316.46062

[11] J. Bisognano and E.H. Wichmann, On the duality condition for quantum fields, J. Math. Phys., Vol. 17, 1976, pp. 303-321. | MR 438944

[12] H.-J. Borchers, Über die Mannigfaltigkeit der interpolierenden Felder zu einer kausalen S-Matrix, Il Nuovo Cimento, Vol. 15, 1960, pp. 784-794. | MR 115693 | Zbl 0093.44002

[13] R.V. Kadison and J.R. Ringrose, Fundamentals of the Theory of Operator Algebras II, New York: Academic press, 1986. | MR 859186 | Zbl 0601.46054

[14] R.T. Powers, Self-Adjoint Algebras of Unbounded Operators, II, Trans. Am. Math. Soc., Vol. 187, 1974, pp. 261-293. | Zbl 0296.46059

[15] J. Roberts, Spontanously broken gauge symmetries and superselection rules, in International School of Mathematical Physics, Universita' di Camerino, 1974.