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Scaling and Self-Similarity in Physics pp 203–226Cite as

Birkhäuser

Non-Perturbative Methods for the Study of Massless Models

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Part of the book series: Progress in Physics ((PMP,volume 7))

Abstract

In this paper we describe some non-perturbative methods suitable to study massless models of classical statistical mechanics. By massless models, we mean systems that are only polynomially (not exponentially) clustering. Most of the models we shall consider have a clustering like |x|-d in d dimensions. Their correlation functions are therefore even not absolutely integrable, which implies that they are outside the range of powerful techniques like for instance the “cluster expansion” at least in its original form [24, 34]. We shall mainly concentrate on three types of systems.

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Authors and Affiliations

  1. Institut de Physique Théorique, Université Catholique de Louvain, chemin du Cyclotron, 2, 1348, Louvain-la-Neuve, Belgium

    Jean-Raymond Fontaine

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  1. Jean-Raymond Fontaine
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  1. Department of Theoretical Physics, ETH - Hönggerberg, 8093, Zürich, Switzerland

    Jürg Fröhlich

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© 1983 Springer Science+Business Media New York

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Fontaine, JR. (1983). Non-Perturbative Methods for the Study of Massless Models. In: Fröhlich, J. (eds) Scaling and Self-Similarity in Physics. Progress in Physics, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6762-6_6

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  • DOI: https://doi.org/10.1007/978-1-4899-6762-6_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4899-6764-0

  • Online ISBN: 978-1-4899-6762-6

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