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Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

  • Book
  • © 2001

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Editors:
  1. S. Pakuliak

    1. Joint Institute for Nuclear Research, Laboratory of Theoretical Physics, Dubna, Russia

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    You can also search for this editor in PubMed   Google Scholar

  2. G. Gehlen

    1. Physikalisches Institut, Universität Bonn, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 35)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. A New Basis for Bethe Vectors of the Heisenberg Model

    • T.-D. Albert, K. Ruhlig
    Pages 1-16

  3. The Form Factors and Quantum Equation of Motion in the Sine-Gordon Model

    • H. Babujian, M. Karowski
    Pages 17-34

  4. Instantons, Hilbert Schemes and Integrability

    • H. W. Braden, N. A. Nekrasov
    Pages 35-54

  5. Low-Temperature Behaviour of 2D Lattice SU(2) Spin Model

    • O. Borisenko, V. Kushnir
    Pages 55-63

  6. Form Factor Representation of the Correlation Functions of the two Dimensional Ising Model on a Cylinder

    • A. I. Bugrij
    Pages 65-93

  7. Aspects of Integrable Quantum Field Theories with Boundaries

    • E. Corrigan
    Pages 95-107

  8. Functional Realization of Some Elliptic Hamiltonian Structures and Bosonization of the Corresponding Quantum Algebras

    • B. L. Feigin, A. V. Odesskii
    Pages 109-122

  9. Quantized Moduli Spaces of the Bundles on the Elliptic Curve and Their Applications

    • B. L. Feigin, A. V. Odesskii
    Pages 123-137

  10. Thermodynamic Bethe Ansatz and Form Factors for the Homogeneous Sine-Gordon Models

    • A. Fring
    Pages 139-153

  11. The Superintegrable Chiral Potts Quantum Chain and Generalized Chebyshev Polynomials

    • G. Von Gehlen, Shi-Shyr Roan
    Pages 155-172

  12. Dualities in Integrable Systems: Geometrical Aspects

    • A. Gorsky, V. Rubtsov
    Pages 173-198

  13. Integrable Evolutionary Equations Via Lie Algebras on Hyperelliptic Curves

    • P. Holod, T. Skrypnyk
    Pages 199-210

  14. The Quantum Dilogarithm and Dehn Twists in Quantum TeichmÜller Theory

    • R. Kashaev
    Pages 211-221

  15. Unitary Representations of the Modular and Two-Particle Q-Deformed Toda Chains

    • S. Kharchev, D. Lebedev, M. Semenov-Tian-Shansky
    Pages 223-242

  16. The Algebraic Bethe Ansatz and the Correlation Functions of the Heisenberg Magnet

    • N. A. Kitanine, N. A. Slavnov
    Pages 243-264

  17. Dual Algebras with Non-Linear Poisson Brackets

    • A. Korovnichenko, A. Zhedanov
    Pages 265-272

  18. Sine-Gordon Solitons vs. Relativistic Calogero-Moser Particles

    • S. N. M. Ruijsenaars
    Pages 273-292

  19. Integrable Three Dimensional Models in Wholly Discrete Space-Time

    • S. Sergeev
    Pages 293-304

  20. Elliptic Beta Integrals and Special Functions of Hypergeometric Type

    • V. P. Spiridonov
    Pages 305-313
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Keywords

About this book

Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic. The first group of papers published here is concerned with integrable structures of quantum lattice models related to quantum group symmetries. The second group deals with the description of integrable structures in two-dimensional quantum field theories, especially boundary problems, thermodynamic Bethe ansatz and form factor problems. Finally, a major group of papers is concerned with the purely mathematical framework that underlies the physically-motivated research on quantum integrable models, including elliptic deformations of groups, representation theory of non-compact quantum groups, and quantization of moduli spaces.

Editors and Affiliations

  • Joint Institute for Nuclear Research, Laboratory of Theoretical Physics, Dubna, Russia

    S. Pakuliak

  • Physikalisches Institut, Universität Bonn, Germany

    G. Gehlen

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