Abstract
The irreducible (physically relevant) representations selected in the previous section have a further important property, called cluster property.
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References
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.
See e.g. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I, Academic Press 1972, Sect. 11.5.
H. Araki, Prog. Theor. Phys. 32, 884 (1964).
See O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. 1. Springer 1987, Sect. 4.3.
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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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DOI: https://doi.org/10.1007/978-3-540-73593-9_16
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