Planar ising correlations

著者

    • Palmer, John

書誌事項

Planar ising correlations

John Palmer

(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 49)

Birkhäuser, c2007

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注記

Includes bibliographical references (p. [345]-356) and index

内容説明・目次

内容説明

Steady progress in recent years has been made in understanding the special mathematical features of certain exactly solvable models in statistical mechanics and quantum field theory, including the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields. New results have made it possible to obtain a detailed nonperturbative analysis of the multi-spin correlations. In particular, the book focuses on deformation analysis of the scaling functions of the Ising model, and will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory.

目次

Preface * I. Ising Model on a Finite Square Lattice * II. Infinite Volume Limits * III. Scaling Limits * IV. Monodromy Preserving Deformations of the Euclidean Dirac Equation * V. Analysis of Tau Functions VI. Holonomic Quantum Fields * Appendix: Infinite Dimensional Spin Groups * Bibliography * Index

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詳細情報

  • NII書誌ID(NCID)
    BA83003983
  • ISBN
    • 9780817642488
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Boston
  • ページ数/冊数
    xx, 363 p.
  • 大きさ
    25 cm
  • 親書誌ID
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