Fundamental Problems of Gauge Field Theory

  • G. Velo
  • A. S. Wightman

Part of the NATO ASI Series book series (NSSB, volume 141)

Table of contents

  1. Front Matter
    Pages i-vii
  2. A. Neveu
    Pages 15-49
  3. Luis Alvarez-Gaumé
    Pages 93-206
  4. T. Balaban, A. Jaffe
    Pages 207-263
  5. Klaus Fredenhagen
    Pages 265-300
  6. Daniel Zwanziger
    Pages 345-393
  7. Back Matter
    Pages 395-401

About this book

Introduction

The sixth Ettore Majorana International School of Mathematical Physics was held at the Centro della Cultura Scientifica Erice, Sicily, 1-14 July 1985. The present volume collects lecture notes on the ses­ sion which was devoted to Fundamental Problems of Gauge Field Theory. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. As a result of the experimental and theoretical developments of the last two decades, gauge field theory, in one form or another, now pro­ vides the standard language for the description of Nature; QCD and the standard model of the electroweak interactions illustrate this point. It is a basic task of mathematical physics to provide a solid foundation for these developments by putting the theory in a physically transparent and mathematically rigorous form. The lectures and seminars of the school concentrated on the many unsolved problems which arise here, and on the general ideas and methods which have been proposed for their solution. In particular, we mention the use of rigorous renormalization group methods to obtain control over the continuum limit of lattice gauge field theories, the explora­ tion of the extraordinary enigmatic connections between Kac-Moody­ Virasoro algebras and string theory, and the systematic use of the theory of local algebras and indefinite metric spaces to classify the charged C* states in gauge field theories.

Keywords

Lattice algebra ring theory

Editors and affiliations

  • G. Velo
    • 1
  • A. S. Wightman
    • 2
  1. 1.University of BolognaBolognaItaly
  2. 2.Joseph Henry LaboratoriesPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-0363-4
  • Copyright Information Springer-Verlag US 1986
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-0365-8
  • Online ISBN 978-1-4757-0363-4
  • Series Print ISSN 0258-1221
  • About this book