Quantum Non-linear Sigma-Models

From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings

  • Sergei V. Ketov

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Sergei V. Ketov
    Pages 1-4
  3. Sergei V. Ketov
    Pages 5-56
  4. Sergei V. Ketov
    Pages 57-90
  5. Sergei V. Ketov
    Pages 91-164
  6. Sergei V. Ketov
    Pages 165-201
  7. Sergei V. Ketov
    Pages 203-244
  8. Sergei V. Ketov
    Pages 245-293
  9. Sergei V. Ketov
    Pages 295-345
  10. Sergei V. Ketov
    Pages 347-398
  11. Back Matter
    Pages 399-420

About this book


The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics.


Gauge theory Non-linear Quantum Relativity Sigma-Models general relativity

Authors and affiliations

  • Sergei V. Ketov
    • 1
  1. 1.Institut für Theoretische PhysikUniversität HannoverHannoverGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08688-5
  • Online ISBN 978-3-662-04192-5
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site
Industry Sectors
Energy, Utilities & Environment