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  • © 2000

Quantum Non-linear Sigma-Models

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

Authors:

  • The first comprehensive presentation of the quantum non-linear sigma-models

  • Includes supplementary material: sn.pub/extras

Part of the book series: Theoretical and Mathematical Physics (TMP)

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eBook USD 99.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-04192-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 129.99
Price excludes VAT (USA)
Hardcover Book USD 149.99
Price excludes VAT (USA)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
  2. Introduction

    • Sergei V. Ketov
    Pages 1-4
  3. Classical Structure and Renormalization

    • Sergei V. Ketov
    Pages 5-56
  4. Supersymmetric NLSM

    • Sergei V. Ketov
    Pages 57-90
  5. NLSM and Extended Superspace

    • Sergei V. Ketov
    Pages 91-164
  6. NLSM and 2d Conformal Field Theory

    • Sergei V. Ketov
    Pages 165-201
  7. NLSM and Strings

    • Sergei V. Ketov
    Pages 203-244
  8. Chiral (1,0) NLSM and Heterotic Strings

    • Sergei V. Ketov
    Pages 245-293
  9. LEEA in 4d, N = 2 Gauge Field Theories

    • Sergei V. Ketov
    Pages 295-345
  10. Generalizations of NLSM

    • 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.

Keywords

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

Reviews

"This is a very useful book describing many aspects and applications of nonlinear sigma-models. [...] One of the useful features of the book is that several chapters and sections can essentially be read independently, making this a practical reference book. However, the introductory chapters should also make it accessible to anyone with a basic knowledge of quantum field theory and supersymmetry." (Mathematical Reviews 2002b)

Authors and Affiliations

  • Institut für Theoretische Physik, Universität Hannover, Hannover, Germany

    Sergei V. Ketov

Bibliographic Information

  • Book Title: Quantum Non-linear Sigma-Models

  • Book Subtitle: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings

  • Authors: Sergei V. Ketov

  • Series Title: Theoretical and Mathematical Physics

  • DOI: https://doi.org/10.1007/978-3-662-04192-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Hardcover ISBN: 978-3-540-67461-0

  • Softcover ISBN: 978-3-642-08688-5

  • eBook ISBN: 978-3-662-04192-5

  • Series ISSN: 1864-5879

  • Series E-ISSN: 1864-5887

  • Edition Number: 1

  • Number of Pages: XII, 420

  • Topics: Mathematical Methods in Physics, Elementary Particles, Quantum Field Theory

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-04192-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 129.99
Price excludes VAT (USA)
Hardcover Book USD 149.99
Price excludes VAT (USA)