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  • Conference proceedings
  • © 1995

Constructive Physics

Results in Field Theory, Statistical Mechanics and Condensed Matter Physics

Part of the book series: Lecture Notes in Physics (LNP, volume 446)

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Table of contents (18 papers)

  1. Front Matter

  2. Trees, forests and jungles: A botanical garden for cluster expansions

    • Abdelmalek Abdesselam, Vincent Rivasseau
    Pages 7-36
  3. Renormalizing partial differential equations

    • Jean Bricmont, Antti Kupiainen
    Pages 83-115
  4. Supersymmetric quantum field theory

    • Konrad Osterwalder
    Pages 117-130
  5. Mass generation in a one-dimensional fermi model

    • P. A. Faria da Veiga, T. R. Hurd, D. H. U. Marchetti
    Pages 161-167
  6. Mass generation in the large N Gross-Neveu model

    • Christoph Kopper
    Pages 169-186
  7. U(1) gauge theory on a torus

    • Yu. M. Zinoviev
    Pages 187-200
  8. Random and interacting surfaces

    • François Dunlop
    Pages 249-265
  9. Fermi liquids in two-space dimensions

    • Joel Feldman, Detlef Lehmann, Horst Knörrer, Eugene Trubowitz
    Pages 267-299
  10. The self-avoiding walk in four dimensions

    • Steven E. Golowich
    Pages 301-309
  11. Weakly self-avoiding polymers in four dimensions

    • Daniel Iagolnitzer, Jacques Magnen
    Pages 327-337
  12. Back Matter

About this book

Addressing graduate students and researchers in physics and mathematics, this book fills a gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of continuous symmetry breaking and of self-avoiding random walks in statistical mechanics, as well as applications to solid-state physics. Mathematicians will find constructive methods useful for studies in partial differential equations.

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access