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Theoretical and Mathematical Physics Ser.: Quantum Non-Linear Sigma-Models : From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings by S. V. Ketov (2000, Hardcover)
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103540674616
ISBN-139783540674610
eBay Product ID (ePID)1795753
Product Key Features
Number of PagesXii, 420 Pages
LanguageEnglish
Publication NameQuantum Non-Linear Sigma-Models : From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings
SubjectPhysics / Quantum Theory, Physics / Mathematical & Computational, Physics / Nuclear, Physics / General
Publication Year2000
TypeTextbook
AuthorS. V. Ketov
Subject AreaScience
SeriesTheoretical and Mathematical Physics Ser.
FormatHardcover
Dimensions
Item Height0.5 in
Item Weight61 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN00-059554
Dewey Edition21
Reviews"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)
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal530.14/3
Table Of Content1 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.
SynopsisThe idea for this book came to me after visiting DESY and CERN in 1996 and 1997. For a long time, two-dimensional Non-Linear Sigma-Models (NLSM) served as a useful laboratory for the study of perturbative and n- perturbative properties of four-dimensional non-Abelian gauge theories, since they share many remarkable features like renormalizability, asymptotic fr- dom, solitons, confinement, etc. [1]. For instance, the low-energy effective physics of pions in four-dimensional Quantum Chromo dynamics (QCD) - ceives the most natural description in terms of the principal NLSM whose solitonic solutions (skyrmions) can be interpreted as baryons [2]. In fact, NLSM are also important for spontaneous symmetry breaking, extended - per symmetry and supergravity, conformal field theory, gravity and string t- ory. This book is entirely devoted to recent applications of NLSM in various dimensions. In the late 1980s and while in Russia, I wrote the book [3] entitled 'N- linear Sigma-Models in Quantum Field Theory and Strings', which was ev- tually published in Russian by the Nauka Publishers in 1992. This book is not a translation of my earlier book into English, though it shares about one third of its content with the Russian edition. The main additions include the two-dimensional Wess-Zumino-Novikov-Witten (WZNW) models in c- formal field theory and strings, gauging NLSM isometries, four-dimensional NLSM with N = 2 extended supersymmetry in the context of Seiberg-Witten theory and M-theory, N = 2 strings and D-brane dynamics. This book is not a collection of all known facts about NLSM., 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.
LC Classification NumberQC19.2-20.85
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