Renormalization of Quantum Field Theories with Non-linear Field Transformations

Proceedings of a Workshop, Held at Ringberg Castle Tegernsee, FRG, February 16–20, 1987

  • Editors
  • Peter Breitenlohner
  • Dieter Maison
  • Klaus Sibold
Conference proceedings

Part of the Lecture Notes in Physics book series (LNP, volume 303)

Table of contents

  1. Front Matter
  2. C. Becchi
    Pages 95-108
  3. D. Olivier, G. Valent
    Pages 151-159
  4. H. Dorn, H. J. Otto
    Pages 197-208
  5. R. Stora
    Pages 213-219
  6. L. Bonora, M. Bregola, K. Lechner, P. Pasti, M. Tonin
    Pages 220-231
  7. L. Bonora, P. Cotta-Ramusino, M. Rinaldi
    Pages 232-239
  8. Back Matter

About these proceedings


The characteristic feature of many models for field theories based on concepts of differential geometry is their nonlinearity. In this book a systematic exposition of nonlinear transformations in quantum field theory is given. The book starts with a short account of the renormalization theory with examples which can be handled successfully in four space-time dimensions. The second part is devoted to nonlinear sigma-models and their constructions in two dimensions. In the final section geometrical and cohomological methods and the relations to string theory are treated. This book is an important contribution towards rigorous definitions, and the mastering of nonlinear reparametrizations in agreement with the principles of quantum field theory will help to deal with anomalies, geometry and the like consistently and thus to understand better their implications for physics. The collection of papers addresses researchers and graduate students as well and will stimulate further work on the foundations of quantum field theory.


differential geometry gauge theories manifold quantum field quantum field theory renormalization string theory

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-19263-3
  • Online ISBN 978-3-540-39178-4
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site