@article{AIHPA_1988__49_2_215_0,
author = {Summers, Stephen J. and Werner, Reinhard},
title = {Maximal violation of {Bell's} inequalities for algebras of observables in tangent spacetime regions},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {215--243},
publisher = {Gauthier-Villars},
volume = {49},
number = {2},
year = {1988},
mrnumber = {984150},
zbl = {0673.46046},
language = {en},
url = {http://archive.numdam.org/item/AIHPA_1988__49_2_215_0/}
}
TY - JOUR AU - Summers, Stephen J. AU - Werner, Reinhard TI - Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions JO - Annales de l'I.H.P. Physique théorique PY - 1988 SP - 215 EP - 243 VL - 49 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1988__49_2_215_0/ LA - en ID - AIHPA_1988__49_2_215_0 ER -
%0 Journal Article %A Summers, Stephen J. %A Werner, Reinhard %T Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions %J Annales de l'I.H.P. Physique théorique %D 1988 %P 215-243 %V 49 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1988__49_2_215_0/ %G en %F AIHPA_1988__49_2_215_0
Summers, Stephen J.; Werner, Reinhard. Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions. Annales de l'I.H.P. Physique théorique, Tome 49 (1988) no. 2, pp. 215-243. http://archive.numdam.org/item/AIHPA_1988__49_2_215_0/
[1] and , Interpolation by type I factors and the flip automorphism. J. Funct. Anal., t. 51, 1983, p. 361-371. | MR | Zbl
[2] , and , The universal structure of local algebras. Commun. Math. Phys., t. 111, 1987, p. 123-135. | MR | Zbl
[3] , Local quantum theory, I. In: Local Quantum Theory, ed. R. Jost, Academic Press, New York, 1969.
[4] , Asymptotic ratio set and property L'λ. Publ. RIMS, Kyoto Univ., t. 6, 1970-1071, p. 443-460. | MR | Zbl
[5] and , A classification of factors. Publ. RIMS, Kyoto Univ., t. 4, 1968, p. 51-130. | MR | Zbl
[6] , Product states for local algebras. Commun. Math. Phys., t. 36, 1974, p. 287-304. | MR | Zbl
[7] and , Locality and the structure of particle states. Commun. Math. Phys., t. 84, 1982, p. 1-54. | MR | Zbl
[8] and , Causal independence and the energy-level density of states in local quantum field theory. Commun. Math. Phys., t. 106, 1986, p. 321-344. | MR | Zbl
[9] , and , On Noether's theorem in quantum field theory. Ann. Phys., t. 170, 1986, p. 1-17. | MR | Zbl
[10] , Quantum generalizations of Bell's inequalities. Lett. Math. Phys., t. 4, 1980, p. 93-100. | MR
[11] and , Homogeneity of the state space of factors of type III1. J. Funct. Anal., t. 28, 1978, p. 187-196. | MR | Zbl
[12] , and , Fields, observables and gauge transformations, I, II. Commun. Math. Phys., t. 13, 1969, p. 1-23 and t. 15, 1969, p. 173- 200. | MR | Zbl
[13] and , Standard and split inclusions of von Neumann algebras. Invent. Math., t. 75, 1984, p. 493-536. | EuDML | MR | Zbl
[14] , Comments on lightlike translations and applications in relativistic quantum field theory. Commun. Math. Phys., t. 44, 1975, p. 133-141. | MR | Zbl
[15] , On the type of local algebras in quantum field theory. Commun. Math. Phys., t. 53, 1977, p. 295-297. | MR | Zbl
[16] , On the structure of fields and algebras on null planes, I, Local algebras. Acta Phys. Austr., t. 46, 1977, p. 63-96. | MR
[17] , Duality and absence of locally generated superselection sectors for CCR-type algebras. Commun. Math. Phys., t. 70, 1979, p. 213-220. | MR | Zbl
[18] and , Central decomposition of Poincaré-invariant nets of local field algebras and absence of spontaneous breaking of the Lorentz group. Ann. Inst. Henri Poincaré, t. A 43, 1985, p. 147-166. | EuDML | Numdam | MR | Zbl
[19] and , On the decomposition of relativistic quantum field theories into pure phases. Helv. Phys. Acta, t. 59, 1986, p. 331-348. | MR
[20] , and , On the connection between quantum fields and von Neumann algebras of local operators. Commun. Math. Phys., t. 105, 1986, p. 49-84. | MR | Zbl
[21] and , Unitary equivalence of local algebras in the quasi-free representation. Ann. Inst. Henri Poincaré, t. A 20, 1974, p. 201-209. | EuDML | Numdam | MR | Zbl
[22] , Exponential representations of the canonical commutation relations. Commun. Math. Phys., t. 19, 1970, p. 1-30. | MR | Zbl
[23] , On the modular structure of local algebras of observables. Commun. Math. Phys., t. 97, 1985, p. 79-89. | MR | Zbl
[24] and , The λ(φ4)2 quantum field theory without cutoffs. III. The physical vacuum. Acta Math., t. 125, 1970, p. 204-267. | MR
[25] and , An algebraic approach to quantum field theory. J. Math. Phys., t. 5, 1964, p. 848-861. | MR | Zbl
[26] and , Modular structure of the local algebras associated with the free massless scalar field theory. Commun. Math. Phys., t. 84, 1982, p. 71-85. | MR | Zbl
[27] , Conformal covariance, modular structure and duality for local algebras in free massless quantum field theories, preprint, University of California, 1987. | MR | Zbl
[28] , On the violation of Bell's inequality in quantum theory. Phys. Lett., t. 120 A, 1987, p. 54-56. | MR
[29] , The asymptotic ratio set and direct integral decompositions of a von Neumann algebra. Can. J. Math., t. 23, 1971, p. 598-607. | MR | Zbl
[30] , Representations of uniformly hyperfinite algebras and their associated von Neumann rings. Ann. Math., t. 86, 1967, p. 138-171. | MR | Zbl
[31] , UHF algebras and their applications to representations of the anticommutation relations. In: Cargèse Lectures in Physics, Vol. 4, ed. D. Kastler, Gordon and Breach, New York, London, Paris, 1970.
[32] , Some applications of dilatation invariance to structural questions in the theory of local observables. Commun. Math. Phys., t. 37, 1974, p. 273-286. | MR | Zbl
[33] , Independence of local algebras in quantum field theory. Commun. Math. Phys., t. 16, 1970, p. 238-246. | MR | Zbl
[34] , C*-Algebras and W*-Algebras. Springer-Verlag, New York, Berlin, Heidelberg, 1971. | MR | Zbl
[35] , Einige Bemerkungen über Projektionsoperatoren. Commun. Math. Phys., t. 13, 1969, p. 216-225. | MR | Zbl
[36] , A Yukawa quantum field theory in two spacetime dimensions without cutoffs. Ann. Phys., t. 70, 1972, p. 412-457. | MR
[37] and , PCT, Spin and Statistics, And All That, New York, Benjamin, 1964. | MR | Zbl
[38] , Normal product states for fermions and twisted duality for CCR- and CAR-type algebras with application to the Yukawa2 quantum field model. Commun. Math. Phys., t. 86, 1982, p. 111-141. | MR | Zbl
[39] and , The vacuum violates Bell's inequalities. Phys. Lett., t. 110 A, 1985, p. 257-259. | MR
[40] and , Bell's inequalities and quantum field theory, I. General setting. J. Math. Phys., t. 28, 1987, p. 2440-2447. | MR | Zbl
[41] and , Bell's inequalities and quantum field theory, II. Bell's inequalities are maximally violated in the vacuum. J. Math. Phys., t. 28, 1987, p.2448-2456. | MR | Zbl
[42] and , Maximal violation of Bell's inequalities is generic in quantum field theory. Commun. Math. Phys., t. 110, 1987, p. 247-259. | MR | Zbl
[43] , Theory of Operator Algebras, I. Springer-Verlag, New York, Berlin, Heidelberg, 1979. | Zbl
[44] , Conditional expectations in von Neumann algebras. J. Funct. Anal., t. 9, 1972, p. 306-321. | MR | Zbl
[45] , Asymptotic ratio set of von Neumann algebras generated by temperature states in statistical mechanics. Rep. Math. Phys., t. 12, 1977, p. 115-118. | MR | Zbl
[46] , Local preparability of states and the split property in quantum field theory. Lett. Math. Phys., t. 13, 1987, p. 325-329. | MR | Zbl
[47] , La théorie quantique locale et la théorie quantique des champs. Ann. Inst. Henri Poincaré, t. A1, 1964, p. 403-420. | EuDML | Numdam | MR | Zbl
