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Quantum Fields and Quantum Space Time

  • Book
  • © 1997

Overview

Editors:
  1. Gerard ’t Hooft

    1. University of Utrecht, Utrecht, The Netherlands

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  2. Arthur Jaffe

    1. Harvard University, Cambridge, USA

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  3. Gerhard Mack

    1. University of Hamburg, Hamburg, Germany

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  4. Pronob K. Mitter

    1. CNRS, University of Montpellier 2, Montpellier, France

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  5. Raymond Stora

    1. Laboratory of Particle Physics, Annecy-le-Vieux, Annecy-le-Vieux, France

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Part of the book series: NATO Science Series B: (NSSB, volume 364)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-viii
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  2. Lectures

    1. Non-Commutative Gauge Fields from Quantum Groups

      • Anton Yu. Alekseev, Volker Schomerus
      Pages 1-19

    2. Duality in N = 2 SUSY SU(2) Yang-Mills Theory: A Pedagogical Introduction

      • Adel Bilal
      Pages 21-43

    3. Noncommutative Differential Geometry and the Structure of Space Time

      • Alain Connes
      Pages 45-72

    4. Quantum Integrable Models on 1 + 1 Discrete Space Time

      • L. Faddeev, A. Volkov
      Pages 73-91

    5. Supersymmetry and Non-Commutative Geometry

      • J. Fröhlich, O. Grandjean, A. Recknagel
      Pages 93-121

    6. Turbulence under a Magnifying Glass

      • Krzysztof Gawȩdzki
      Pages 123-150

    7. Quantization of Space and Time in 3 and in 4 Space-Time Dimensions

      • G. ’t Hooft
      Pages 151-163

    8. Pushing Einstein’s Principles to the Extreme

      • Gerhard Mack
      Pages 165-201

    9. Integrable Classical and Quantum Gravity

      • H. Nicolai, D. Korotkin, H. Samtleben
      Pages 203-243

    10. Quantum Affine Algebras and Integrable Quantum Systems

      • Vyjayanthi Chari, Andrew Pressley
      Pages 245-263

    11. Exercises in Equivariant Cohomology

      • R. Stora
      Pages 265-279

    12. Some Complex Quantum Manifolds and their Geometry

      • Chong-Sun Chu, Pei-Ming Ho, Bruno Zumino
      Pages 281-322

  3. Seminars

    1. T-Duality and the Moment Map

      • C. Klimčík, P. Ševera
      Pages 323-329

    2. Symmetries of Dimensionally Reduced String Effective Action

      • Jnanadeva Maharana
      Pages 331-338

    3. Non Local Observables and Confinement in BF Formulation of Yang-Mills Theory

      • Francesco Fucito, Maurizio Martellini, Mauro Zeni
      Pages 339-348

    4. Disorder Operators, Quantum Doubles, and Haag Duality in 1 + 1 Dimensions

      • Michael Müger
      Pages 349-356

    5. The Cohomology and Homology of Quantum Field Theory

      • J. E. Roberts
      Pages 357-368

  4. Back Matter

    Pages 369-373
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Keywords

About this book

The 1996 NATO Advanced Study Institute (ASI) followed the international tradi­ tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry.

Editors and Affiliations

  • University of Utrecht, Utrecht, The Netherlands

    Gerard ’t Hooft

  • Harvard University, Cambridge, USA

    Arthur Jaffe

  • University of Hamburg, Hamburg, Germany

    Gerhard Mack

  • CNRS, University of Montpellier 2, Montpellier, France

    Pronob K. Mitter

  • Laboratory of Particle Physics, Annecy-le-Vieux, Annecy-le-Vieux, France

    Raymond Stora

Bibliographic Information

  • Book Title: Quantum Fields and Quantum Space Time

  • Editors: Gerard ’t Hooft, Arthur Jaffe, Gerhard Mack, Pronob K. Mitter, Raymond Stora

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4899-1801-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-306-45697-8Published: 31 October 1997

  • Softcover ISBN: 978-1-4899-1803-1Published: 11 June 2013

  • eBook ISBN: 978-1-4899-1801-7Published: 29 June 2013

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: VIII, 374

  • Topics: Theoretical, Mathematical and Computational Physics

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