Quantum Fields and Quantum Space Time

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

Part of the NATO ASI Series book series (NSSB, volume 364)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Lectures

    1. Anton Yu. Alekseev, Volker Schomerus
      Pages 1-19
    2. L. Faddeev, A. Volkov
      Pages 73-91
    3. J. Fröhlich, O. Grandjean, A. Recknagel
      Pages 93-121
    4. Krzysztof Gawȩdzki
      Pages 123-150
    5. H. Nicolai, D. Korotkin, H. Samtleben
      Pages 203-243
    6. Vyjayanthi Chari, Andrew Pressley
      Pages 245-263
    7. R. Stora
      Pages 265-279
    8. Chong-Sun Chu, Pei-Ming Ho, Bruno Zumino
      Pages 281-322
  3. Seminars

    1. C. Klimčík, P. Ševera
      Pages 323-329
    2. Francesco Fucito, Maurizio Martellini, Mauro Zeni
      Pages 339-348
  4. Back Matter
    Pages 369-373

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.


algebra differential geometry field theory fields geometry gravity quantization quantum field theory quantum gravity quantum theory string theory symmetry turbulence

Editors and affiliations

  • Gerard ’t Hooft
    • 1
  • Arthur Jaffe
    • 2
  • Gerhard Mack
    • 3
  • Pronob K. Mitter
    • 4
  • Raymond Stora
    • 5
  1. 1.University of UtrechtUtrechtThe Netherlands
  2. 2.Harvard UniversityCambridgeUSA
  3. 3.University of HamburgHamburgGermany
  4. 4.CNRSUniversity of Montpellier 2MontpellierFrance
  5. 5.Laboratory of Particle Physics, Annecy-le-VieuxAnnecy-le-VieuxFrance

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag US 1997
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4899-1803-1
  • Online ISBN 978-1-4899-1801-7
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site
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