@article{AIHPA_1985__43_2_147_0, author = {Driessler, Wulf and Summers, Stephen J.}, title = {Central decomposition of Poincar\'e-invariant nets of local field algebras and absence of spontaneous breaking of the Lorentz group}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {43}, year = {1985}, pages = {147-166}, mrnumber = {817532}, zbl = {0609.47059}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1985__43_2_147_0} }
Driessler, Wulf; Summers, Stephen J. Central decomposition of Poincaré-invariant nets of local field algebras and absence of spontaneous breaking of the Lorentz group. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) pp. 147-166. http://gdmltest.u-ga.fr/item/AIHPA_1985__43_2_147_0/
[1] On the algebra of all local observables, Prog. Theor. Phys., t. 32, 1964, p. 844-854. | MR 182329 | Zbl 0125.21904
,[2] Fields, observables and gauge transformations, I, Commun. Math. Phys., t. 13, 1969, p. 1-23. | MR 258394 | Zbl 0175.24704
, and ,[3] On the phase diagram of a P(φ)2 quantum field model, Ann. Inst. Henri Poincaré, t. A34, 1981, p. 173-229. | Numdam | MR 610865
,[4] Phase diagrams and cluster expansions for low temperature P(φ)2 models, I and II, Commun. Math. Phys., t. 82, 1981, p. 261-304 and p. 305-343. | MR 639061
,[5] A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions, Ann. Inst. Henri Poincaré, t. A36, 1982, p. 271-400. | Numdam | MR 667547 | Zbl 0509.46059
and ,[6] On the duality condition for a Hermitian scalar field, J. Math. Phys., t. 16, 1975, p. 985-1007. | MR 438943 | Zbl 0316.46062
and ,[7] On the duality condition for quantum fields, J. Math. Phys., t. 17, 1976, p. 303-321. | MR 438944
and ,[8] Nonexistence of quantum fields associated with two-dimensional spacelike planes, Commun. Math. Phys., t. 89, 1983, p. 221-226. | MR 709463 | Zbl 0522.46048
and ,[9] On systems of local operators and the duality condition, J. Math. Phys., t. 24, 1983, p. 1633-1644. | MR 708687 | Zbl 0542.46037
,[10] On the affiliation of quantum field operators to local algebras of observables, Universität Osnabrück-University of California, Berkeley, preprint, to appear.
, and ,[11] On the structure of the algebra of field operators, Nuovo Cim., t. 24, 1962, p. 214-236. | MR 142320 | Zbl 0129.42205
,[12] Eine Bemerkung zu Clustereigenschaften, Commun. Math. Phys., t. 10, 1968, p. 48-51. | MR 234688 | Zbl 0157.32102
,[13] Les algèbres d'opérateurs dans l'espace Hilbertien, 2e édition, Gauthier-Villars, Paris, 1969. | MR 352996 | Zbl 0175.43801
,[14] Comments on lightlike translations and applications in relativistic quantum field theory, Commun. Math. Phys., t. 44, 1975, p. 133-141. | MR 416336 | Zbl 0306.46076
,[15] Algebraic methods in statistical mechanics and quantum field theory, John Wiley and Sons, Inc., New York, 1972. | Zbl 0235.46085
,[16] Spontaneously broken gauge symmetries and superselection rules, in Proceedings of the international school of mathematical physics, Univ. of Camerino, 1974, E. Gallavotti (ed.), Univ. of Camerino, 1976.
,[17] Decomposable operators: Applications to K. M. S. weights in a decomposable von Neumann algebra, Rep. Math. Phys., t. 8, 1975, p. 203-228. | MR 442706 | Zbl 0319.46053
,[18] Theory of operator algebras I, Springer-Verlag, New York, 1979. | Zbl 0436.46043
,[19] Notes on algebraic invariants for non-commutative dynamical systems, Commun. Math. Phys., t. 69, 1979, p. 195-207. | MR 550019 | Zbl 0421.46053
,[20] Tomita's theory of modular Hilbert algebras and its applications, Lecture notes in mathematics, 128, Springer-Verlag, Berlin, Heidelberg, New York, 1970. | MR 270168 | Zbl 0193.42502
,[21] Poids et espérances conditionnelles dans les algèbres de von Neumann, Bull. Soc. Math. France, t. 99, 1971, p. 73-112. | Numdam | MR 288589 | Zbl 0208.38202
,[22] The general theory of quantized fields, American mathematical society, Providence, Rhode Island, 1965. | MR 177667 | Zbl 0127.19105
,[23] PCT, Spin and statistics and all that, Benjamin Publishing Co., Reading, Massachusetts, 1964. | MR 161603 | Zbl 0135.44305
and ,[24] Von Neumann algebras of local observables for free scalar field, J. Math. Phys., t. 5, 1974, p. 1-13. | MR 160487 | Zbl 0151.44401
,