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Recent Developments in Gauge Theories

  • G.’t Hooft
  • C. Itzykson
  • A. Jaffe
  • H. Lehmann
  • P. K. Mitter
  • I. M. Singer
  • R. Stora

Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 59)

Table of contents

  1. Front Matter
    Pages i-viii
  2. M. F. Atiyah
    Pages 1-5
  3. James Glimm
    Pages 45-52
  4. Jean-Loup Gervais, André Neveu
    Pages 83-99
  5. C. Itzykson
    Pages 159-188
  6. James Glimm, Arthur Jaffe
    Pages 201-204
  7. M. Lüscher
    Pages 205-216
  8. K. Symanzik
    Pages 313-330
  9. Gérard Toulouse
    Pages 331-362
  10. Back Matter
    Pages 437-438

About this book

Introduction

Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified gauge theory of weak and electromagnetic interactions, and finally to a non abelian gauge theory of strong interactions with the notion of permanently confined quarks. The. early theoretical work on gauge theories was devoted to proofs of renormalizability, investigation of short distance behaviour, the discovery of asymptotic freedom, etc . . , aspects which were accessible to tools extrapolated from renormalised perturbation theory. The second phase of the subject is concerned with the problem of quark confinement which necessitates a non-perturbative understanding of gauge theories. This phase has so far been marked by the introduc­ tion of ideas from geometry, topology and statistical mechanics in particular the theory of phase transitions. The 1979 Cargese Institute on "Recent Developments on Gauge Theories" was devoted to a thorough discussion of these non-perturbative, global aspects of non-abelian gauge theories. In the lectures and seminars reproduced in this volume the reader wilf find detailed reports on most of the important developments of recent times on non perturbative gauge fields by some of the leading experts and innovators in this field. Aside from lectures on gauge fields proper, there were lectures on gauge field concepts in condensed matter physics and lectures by mathematicians on global aspects of the calculus of variations, its relation to geometry and topology, and related topics.

Keywords

Confinement Lattice gauge theory Particle Physics Phase Quark mechanics

Editors and affiliations

  • G.’t Hooft
    • 1
  • C. Itzykson
    • 2
  • A. Jaffe
    • 3
  • H. Lehmann
    • 4
  • P. K. Mitter
    • 5
  • I. M. Singer
    • 6
  • R. Stora
    • 7
  1. 1.Institute for Theoretical PhysicsUtrechtThe Netherlands
  2. 2.CEN SaclayGif-sur-YvetteFrance
  3. 3.Harvard UniversityCambridgeUSA
  4. 4.University of HamburgHamburgFederal Republic of Germany
  5. 5.University of ParisParisFrance
  6. 6.University of CaliforniaBerkeleyUSA
  7. 7.Center of Theoretical PhysicsCNRSMarseilleFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-7571-5
  • Copyright Information Plenum Press, New York 1980
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-7573-9
  • Online ISBN 978-1-4684-7571-5
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site