Overview

The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The contents is based on original papers. Geometrical 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-model. Supersymmetric extensions are given for most contructions, 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 sutdents and researchers in physics and mathematics.

Full Product Details

Author:   Sergei V. Ketov
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2000 ed.
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   1.730kg
ISBN:  

9783540674610

ISBN 10:   3540674616
Pages:   420
Publication Date:   14 September 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Introduction.- 2 Classical Structure and Renormalization.- 3 Supersymmetric NLSM.- 4 NLSM and Extended Superspace.- 5 NLSM and 2d Conformai Field Theory.- 6 NLSM and Strings.- 7 Chiral (1,0) NLSM and Heterotic Strings.- 8 LEEA in 4d, N = 2 Gauge Field Theories.- 9 Generalizations of NLSM.- References.- Text Abbreviations.

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)

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