Quantum Non-linear Sigma-Models
Subtitle: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings
By: by Sergei V. Ketov
Series: Texts and Monographs in Physics; Texts and Monographs in Physics
Publisher: Springer Berlin Heidelberg
Published: 2000
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 420
ISBN-13: 9783642086885; 9783662041925
Subjects: Quantum theory; Mathematical physics; Physics
Description: 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.
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Table of contents: title: Non-Linear Sigma-Models in Two Dimensions; title: Supersymmetric Non-Linear Sigma-Models in Two Dimensions; title: Non-Linear Sigma-Models and Conformal Field Theory; title: Non-Linear Sigma-Models and Strings; title: Anomalies of Two-Dimensional Non-Linear Sigma-Models; title: Non-Linear Sigma-Models in Four Dimensions; title: Appendices.