Summary
Haag’s theorem is proved without assuming locality or relativistic invariance.
Riassunto
Si dimostra il teorema di Haag senza fare l’ipotesi della località o dell’invarianza relativistica.
Резюме
Доказывается теорема Хаага, не предполагая локальности и релятивистской инвариантности.
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References
R. Haag:Dan. Mat.-Fys. Medd.,29, No. 12 (1955);R. Jost:Lectures on Field Theory and the Many-Body Problems,E. R. Caianiello ed. (New York, 1961), p. 127; cf. also:R. F. Streater andA. S. Wightman:PCT, Spin and Statistics, and All That (New York, 1964) for a review and further references.
Cf.e.g. J. von Neumann:Compos. Math.,6, 1 (1938);J. R. Klauder, J. McKenna andE. J. Woods:Journ. Math. Phys.,7, 822 (1966);L. Streit:Commun. Math. Phys.,4, 22 (1967).
H. Araki:Journ. Math. Phys.,1, 492 (1960).
E. Nelson:Ann. Math.,70, 572 (1959); cf. alsoH. J. Borchers andW. Zimmermann:Nuovo Cimento,31, 1047 (1963).
M. Loeve:Probability Theory (New York, 1960), p. 159.
J. von Neumann:Math. Ann.,104, 570 (1931).
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Supported in part by the U. S. Atomic Energy Commission under Contract AT(30-1)03829, and by the National Science Foundation.
Traduzione a cura della Redazione.
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Streit, L. A generalization of Haag’s theorem. Nuovo Cimento A (1965-1970) 62, 673–680 (1969). https://doi.org/10.1007/BF02819592
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DOI: https://doi.org/10.1007/BF02819592