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Quantum Non-linear Sigma-Models: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings (Theoretical and Mathematical Physics) - Hardcover

Ketov, Sergei V.

 
9783540674610: Quantum Non-linear Sigma-Models: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings (Theoretical and Mathematical Physics)

Synopsis

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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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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