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Quantum Non-linear Sigma-Models

From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings

Sergei V. Ketov (Autor)

Buch | Softcover

XII, 420 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2000
Springer Berlin (Verlag)
978-3-642-08688-5 (ISBN)

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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.

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.

"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)

Erscheint lt. Verlag	18.8.2010
Reihe/Serie	Theoretical and Mathematical Physics
Zusatzinfo	XII, 420 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	640 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Gauge Theory • General relativity • Non-linear • quantum • Relativity • Sigma-Models
ISBN-10	3-642-08688-8 / 3642086888
ISBN-13	978-3-642-08688-5 / 9783642086885
Zustand	Neuware