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Titlebook: Quantum Physics; A Functional Integra James Glimm,Arthur Jaffe Book 1987Latest edition Springer-Verlag New York Inc. 1987 Phase.Physics.Qua

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Regularity and Axiomsparts identities generate the perturbation expansion of Sections 8.4, 9.4 as well as the high and low temperature expansions studied in Part III and in the literature. These tools allow a detailed investigation of the local (ultraviolet) singularities of the models on the one hand and the large distance (infrared) decoupling on the other.
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Correlation Inequalities and the Lee-Yang Theorem correlation inequalities, are expressed as general inequalities between the expectation values (i.e., the moments or correlation functions) of the system. The Lee-Yang theorem is included here because its proof and usage are closely related.
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The Feynman-Kac Formulal-known special functions, or can the spectra be written in closed form. Thus calculations in quantum mechanics are made by some approximate method, such as computing the first few terms in a formal power series. For example, series in coupling constants are known as perturbation theory; the series
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Correlation Inequalities and the Lee-Yang Theoremite sign and are characterized by global positivity, monotonicity, or convexity properties. These general facts apply to the study of quantum physics, and just as Section 2.4 was an introduction to expansion methods, the present chapter is an introduction to convexity methods. Generally, expansion m
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