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Renormalization of Quantum Field Theories with Non-linear Field Transformations

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

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Peter Breitenlohner
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  2. Dieter Maison
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  3. Klaus Sibold
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Part of the book series: Lecture Notes in Physics (LNP, volume 303)

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Table of contents (21 papers)

  1. Front Matter

    Download chapter PDF

  2. Renormalization theory, a short account of results and problems

    • Dieter Maison
    Pages 1-21

  3. Some remarks for the construction of yang-mills field theories

    • Roland Sénéor
    Pages 22-31

  4. Non-linear field transformations simple examples and general remarks

    • K. Sibold
    Pages 32-44

  5. Superspace renormalization of N = 1, d = 4 supersymmetric gauge theories

    • Olivier Piguet
    Pages 45-63

  6. N= 2 Supersymmetric Yang-Mills Theories in the Wess-Zumino Gauge

    • Peter Breitenlohner
    Pages 64-80

  7. Radiative mass generation in scale invariant systems with spontaneous symmetry breakdown

    • R. Collina
    Pages 81-92

  8. Discussion session on part I: Non-linear field transformations in 4 dimensions

    • C. Becchi
    Pages 93-94

  9. The non-linear sigma model

    • C. Becchi
    Pages 95-108

  10. B.R.S. renormalization of B(n+1) non linear δ-model

    • A. Blast
    Pages 109-119

  11. Renormalization of bosonic non-linear δ-models built on compact homogeneous manifolds

    • Gug Bonneau
    Pages 120-129

  12. Nonlinear field renormalizations in the background field method

    • K.S. Stelle
    Pages 130-143

  13. Kahler geometry and supersymmetric non-linear σ-models: An introduction

    • Guy Bonneau
    Pages 144-150

  14. Methods in hyperkähler σ models building

    • D. Olivier, G. Valent
    Pages 151-159

  15. Sigma model β-functions at all loop orders

    • C.N. Pope
    Pages 160-169

  16. The d=2 conformally invariant SU(2) σ-model with wess-zumino term and related critical theories+)

    • R. Flume
    Pages 170-178

  17. The two-dimensional 0(n) nonlinear σ-model from a wilson renormalization group viewpoint

    • P. K. Mitter, T. R. Ramadas
    Pages 179-196

  18. Nonlinear δ-models with boundary and open strings

    • H. Dorn, H. J. Otto
    Pages 197-208

  19. Discussion session on part II: Non-linear σ-models

    Pages 209-212

  20. Remarks on slavnov symmetries

    • R. Stora
    Pages 213-219
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Keywords

About this book

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.

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