Concerning the condition of additivity in quantum field theory
Summers, Stephen J. ; Wichmann, Eyvind H.
Annales de l'I.H.P. Physique théorique, Tome 47 (1987), p. 113-124 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1987-01-01
@article{AIHPA_1987__47_2_113_0,
     author = {Summers, Stephen J. and Wichmann, Eyvind H.},
     title = {Concerning the condition of additivity in quantum field theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {47},
     year = {1987},
     pages = {113-124},
     mrnumber = {921310},
     zbl = {0632.46067},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1987__47_2_113_0}
}

Summers, Stephen J.; Wichmann, Eyvind H. Concerning the condition of additivity in quantum field theory. Annales de l'I.H.P. Physique théorique, Tome 47 (1987) pp. 113-124. http://gdmltest.u-ga.fr/item/AIHPA_1987__47_2_113_0/

[1] R. Haag, Discussion des « axiomes » et des propriétés asymptotiques d'une théorie des champs locale avec particules composées, in Colloque International sur les Problèmes Mathématiques sur la Théorie Quantique des Champs, Lille, 1957, Centre National de la Recherche Scientifique, Paris, 1959. | Zbl 0090.19402

[2] R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys., t. 5, 1964, p. 848-861. | MR 165864 | Zbl 0139.46003

[3] H. Araki, On the algebra of all local observables. Prog. Theor. Phys., t. 32, 1964, p. 844-854. | MR 182329 | Zbl 0125.21904

[4] H. Araki, Local quantum theory, I, in Local Quantum Theory, ed. R. Jost, Academic Press, New York, 1969.

[5] S. Doplicher, R. Haag and J.E. Roberts, Fields, observables and gauge transformations, I, Commun. Math. Phys., t. 13, 1969, p. 1-23 ; II, Commun. Math. Phys., t. 15, 1969, p. 173-200. | MR 258394 | Zbl 0175.24704

[6] J.E. Roberts, Localization in algebraic field theory, Commun. Math. Phys., t. 85, 1982, p. 87-98. | MR 667769 | Zbl 0509.47036

[7] W. Driessler, S.J. Summers and E.H. Wichmann, On the connection between quantum fields and von Neumann algebras of local operators, Commun. Math. Phys., t. 105, 1986, p. 49-84. | MR 847127 | Zbl 0595.46062

[8] R.F. Streater and A.S. Wightmann, PCT, Spin and Statistics, and All That, Benjamin, New York, 1964. | MR 161603 | Zbl 0135.44305

[9] L.J. Landau, On local functions of fields, Commun. Math. Phys., t. 39, 1974, p. 49-62. | MR 359600 | Zbl 0309.46055

[10] E.H. Wichmann, On systems of local operators and the duality condition. J. Math. Phys., t. 24, 1983, p. 1633-1644. | MR 708687 | Zbl 0542.46037

[11] J.J. Bisognano and E.H. Wichmann, On the duality condition for a Hermitian scalar field. J. Math. Phys., t. 16, 1975, p. 985-1007. | MR 438943 | Zbl 0316.46062

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

[13] P.D. Hislop and R. Longo, Modular structure of the local algebras associated with the free massless scalar field theory. Commun. Math. Phys., t. 84, 1982, p. 71-85. | MR 660540 | Zbl 0491.46060

[14] W.-D. Garber, The connexion of duality and causal properties for generalized free fields. Commun. Math. Phys., t. 42, 1975, p. 195-208. | MR 376001 | Zbl 0304.46045

[15] H. Araki, A generalization of Borcher's Theorem. Helv. Phys. Acta, t. 36, 1963, p. 132-139. | MR 153340 | Zbl 0112.43203

[16] R. Haag, Local relativistic quantum physics. Physica, t. 124A, 1984, p. 357-364. | MR 759190