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Cluster Property and Pure Phases

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Book cover Symmetry Breaking

Part of the book series: Lecture Notes in Physics ((LNP,volume 732))

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Abstract

The irreducible (physically relevant) representations selected in the previous section have a further important property, called cluster property.

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References

  1. R. Haag, Phys. Rev. 112, 669 (1958); Local Quantum Physics, Springer 1996, esp. Sect. II.4; D. Ruelle, Helv. Phys. Acta 35, 147 (1962). For a systematic account of the Haag-Ruelle theory, see R. Jost, The General Theory of Quantized Fields, Am. Math. Soc. 1965.

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  2. See e.g. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I, Academic Press 1972, Sect. 11.5.

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  3. H. Araki, Prog. Theor. Phys. 32, 884 (1964).

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  4. See O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. 1. Springer 1987, Sect. 4.3.

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© 2008 Springer-Verlag Berlin Heidelberg

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Strocchi, F. (2008). Cluster Property and Pure Phases. In: Symmetry Breaking. Lecture Notes in Physics, vol 732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73593-9_16

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