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