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Low-Dimensional Models in Statistical Physics and Quantum Field Theory

Proceedings of the 34. Internationale Universitätswochen für Kern- und Teilchenphysik Schladming, Austria, March 4–11, 1995

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. Harald Grosse
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  2. Ludwig Pittner
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Part of the book series: Lecture Notes in Physics (LNP, volume 469)

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Table of contents (25 papers)

  1. Front Matter

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  2. The chern-simons theory and quantized moduli spaces of flat connections

    • Anton Yu. Alekseev, Volker Schomerus
    Pages 1-26

  3. Comments about higgs fields, noncommutative geometry, and the standard model

    • G. Cammarata, R. Coquereaux
    Pages 27-50

  4. Large new applications of Bethe Ansatz

    • L. D. Faddeev
    Pages 51-70

  5. University in turbulence: An exactly solvable model

    • K. Gawedzki, A. Kupiainen
    Pages 71-105

  6. Introduction to integrable models of statistical physics

    • H. Grosse
    Pages 107-123

  7. Yang-Baxter equation and reflection equations in integrable models

    • P. P. Kulish
    Pages 125-144

  8. Scattering matrices and affine Hecke algebras

    • V. Pasquier
    Pages 145-163

  9. Some algebraic and analytic structures in integrable systems

    • Nicolai Reshetikhin
    Pages 165-199

  10. Monodromy representation of the mapping class group B n for the su 2 Knizhnik-Zamolodchikov equation

    • Yassen S. Stanev, Ivan T. Todorov
    Pages 201-222

  11. What are the quantum mechanical Lyapunov exponents?

    • W. Thirring
    Pages 223-237

  12. Area-preserving structure of massless matter-gravity fields in 1+1 dimensions

    • G. Amelino-Camelia, D. Bak, D. Seminara
    Pages 239-244

  13. Solitons in the Calogero-Sutherland collective field model

    • I. Andrić, V. Bardek, L. Jonke
    Pages 245-248

  14. W1+∞ minimal models and the hierarchy of the quantum hall effect

    • A. Cappelli, C. A. Trugenberger, G. R. Zemba
    Pages 249-258

  15. Creation and annihilation operators for b−c systems on general algebraic curves

    • F. Ferrari, J. Sobczyk
    Pages 259-263

  16. Interacting electrons and localized spins: Exact results from conformal field theory

    • P. Fröjdh, H. Johannesson
    Pages 265-271

  17. On the U(1)-Problem of QED2

    • Ch. Gattringer
    Pages 273-278

  18. The finite Gauge model on the truncated sphere

    • H. Grosse, C. Klimčík, P. Prešnajder
    Pages 279-283

  19. Local operators in massive quantum field theories

    • A. Koubek
    Pages 285-290

  20. On anomalies and noncommutative geometry

    • E. Langmann
    Pages 291-297
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About this book

This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers. The main items can be grouped into integrable (quantum) spin systems, which lead in the continuum limit to (conformal invariant) quantum field theory models and their algebraic structures, ranging from the Yang-Baxter equation and quantum groups to noncommutative geometry.

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