Theoretical and Mathematical Physics

Quantum Non-linear Sigma-Models

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

Authors: Ketov, Sergei V.

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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.

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)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $99.00
price for USA in USD
  • ISBN 978-3-662-04192-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $129.99
price for USA in USD
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Bibliographic Information

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
Series Title
Theoretical and Mathematical Physics
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-04192-5
DOI
10.1007/978-3-662-04192-5
Hardcover ISBN
978-3-540-67461-0
Softcover ISBN
978-3-642-08688-5
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XII, 420
Topics