Quantum Non-Linear Sigma-Models: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings

ISBN-13: 9783642086885 / Angielski / Miękka / 2010 / 420 str.

Sergei V. Ketov

Opis

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.

Recenzje

"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)

Spis treści

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.

Blurb

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.