Titlebook: Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory; Roberto Fernández,Jürg Fröhlich,Alan D. Sokal Book 1992 Springer

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Book 1992al physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu­ ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an impor

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Migratory

Introductiondimensions . < 4 [97, 96, 74, 75, 292]. Our goal in Parts II and III is to present several random-walk expansions from a unified point of view, and to explain the physical results which can (and cannot) be derived from them.

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Random-walk models in the absence of magnetic field-walk representations have been introduced as tools with which to study spin systems [92, 5, 8]. The purpose of this chapter (and the next one) is to exhibit an underlying mathematical structure which is common to all random-walk models.

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Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory978-3-662-02866-7Series ISSN 1864-5879 Series E-ISSN 1864-5887

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Theoretical and Mathematical Physicshttp://image.papertrans.cn/r/image/821106.jpg

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https://doi.org/10.1007/978-3-662-02866-7Gleichhewichtsstatistik; Quantenfeldtheorie; Wahrscheinlichkeitstheorie; mathematical physics; mathemati

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General introductionWe start by describing the different kinds of phase transitions encountered in the study of condensed matter in thermal equilibrium.

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Phase transitions and critical points in classical spin systems: A brief surveyIn this chapter., we describe some fairly recent results on phase transitions and critical points in classical lattice spin systems. We emphasize the analysis of explicit models and quantitative information on such models. A complementary point of view is developed in [309]. See also [447, 469].