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Quantum Non-linear Sigma-Models
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The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. These models are very popular in theoretical high energy physics, string theory, and statistical physics. The geometric and quantum renormalisation properties of the most general non-linear sigma-models are considered in detail, within the framework of quantum perturbation theory. The non-perturbati- ve results are derived for the conformally invariant sigma-models. The supersymmetric generalisations are presented for most constructions. The main applications to be considered in the book can be found in string theory, conformal field theory, and general relativity. The book addresses graduate students and researchers in physics and mathematics.
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