This is the first comprehensive presentation of the quantum non-linear sigma-models. The original papers consider in detail geometrical properties and renormalization of a generic non-linear sigma-model, illustrated by explicit multi-loop calculations in perturbation theory.
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Book Description
Editorial Reviews
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"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)
From the Back Cover
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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Inside This Book
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First Sentence:
The Non-Linear Sigma-Model (NLSM) is a field theory whose field takes its values in a Riemannian manifold M. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Asymptotically Locally Euclidean New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The Non-Linear Sigma-Model (NLSM) is a field theory whose field takes its values in a Riemannian manifold M. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Asymptotically Locally Euclidean New!
Books on Related Topics Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 47
books:
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- Conformal Field Theory by Sergei V Ketov in Front Matter, and Back Matter
- Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology (Cambridge Monographs on Mathematical Physics) by Michael B. Green in Back Matter
- Conformal Invariance and Critical Phenomena (Theoretical and Mathematical Physics) by Malte Henkel in Front Matter
- Renormalization Group (Physics Notes) by Giuseppe Benfatto in Back Matter
- Three Hundred Years of Gravitation by Stephen W. Hawking in Back Matter
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