Download PDF by Patrick Suppes: A probabilistic theory of causality

By Patrick Suppes

ISBN-10: 0720424046

ISBN-13: 9780720424041

Paperback with none writing within the e-book. released 1979 north-holland publishing corporation Amsterdam

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Marseille preprint 1976. D. Ruelle, Nuovo Cimento 19,356, (1961J. see [EEFJ, [D2] and K. Osterwalder and R. Seneor "The Scattering Matrix is Non-Trivial for Weakly Coupled P(~)2 Models", to appear i~ Helv. Phys. Acta, 1976, also Eckmann's and Osterwalder's contribution to [Bi]. R. Schrader, "A Possible Constructive Approach to 4l~, I-III",preprint~ 1975-76, to be published; his contribution to [Mj. E. Seiler and B. Simon, "Nelson's Symmetry and All That in the (Yukawa)2 and (41~)3 Field Theories", to appear in Ann.

A J nj J _ < II -u I t:,. 25) (with p n. 23). The integrand is a Wick J polynomial in ~). e. ; seeO[DGJ). Let G denote the numerical value (number) associated with the contraction scheme (vacuum diagram) ~ • Then I =I 'If (Wick's theorem). G (III. 26) This sum has very many terms, and a direct estimate is difficult. Glimm and Jaffe rGJ3] have invented the very efficient method of "combinatoric factors" to simplify such estimates: Let {c(f§)} be such that I ~ C(IJ)-1 < 1. := t=1, ••• ,m,then sup (c ••• c IG I».

3. FERROMAGNETIC SYSTEMS WITH PAIR INTERACTIONS Let us now give some definitions used in the remainder of this article. on and we associate wite each site t £ A a spin variable Xt • The space K=(R)Z is called the phase space. M. CASSANDRO AND G. JONA·LASINIO 56 (2) The Hamiltonian H in the case of pair interactions, has the following form H(X) = - E Jt,t' Xt Xt , t,t' E: A > 0 Usually in the Hamiltonian one includes a magnetic field term of the form E htX t • In the following we shall be t€A interested in the case h=O.

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A probabilistic theory of causality by Patrick Suppes


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