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Non-Perturbative Field Theory : From Two Dimensional Conformal Field Theory to QCD in Four Dimensions - Yitzhak Frishman

Non-Perturbative Field Theory

From Two Dimensional Conformal Field Theory to QCD in Four Dimensions

Hardcover Published: 1st April 2010
ISBN: 9780521662659
Number Of Pages: 456

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Providing a new perspective on quantum field theory, this book gives a pedagogical and up-to-date exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research work in theoretical physics.

It describes in detail non-perturbative methods in quantum field theory, and explores two-dimensional and four-dimensional gauge dynamics using those methods. The book concludes with a summary emphasizing the interplay between two-and four-dimensional gauge theories

Aimed at graduate students and researchers, this book covers topics from two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and 't Hooft model to four-dimensional conformal invariance, integrability, large N expansion, Skyrme model, monopoles, and instantons. Applications, first to simple field theories and gauge dynamics in two dimensions, and then to gauge theories in four dimensions and quantum chromodynamics (QCD) in particular, are thoroughly described.

Providing a new perspective on quantum field theory, this book gives a pedagogical and up-to-date exposition of non-pertubative methods in relativistic quantum field theory and introduces the reader to modern research work in theoretical physics.

It describes in detail non-perturbative methods in quantum field theory, and explores two-dimensional and four-dimensional gauge dynamics using those methods. The book concludes with a summary emphasizing the interplay between two-and four-dimensional gauge theories.

Aimed at graduate students and researchers, this book covers topics from two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and 't Hooft model, to four-dimensional conformal invariance, integrability, larage N expansion, Skyrme model, monopoles, and instantons. Applications, first to simple field theories gauge theories in four dimensions and quantum chromodynamics (QCD) in particular, are thoroughly described.

'... Non-Perturbative Field Theory will have enduring value as a comprehensive reference.' Contemporary Physics
"... highly recommendable... This book fills a gap in the literature on non-pertubative aspects of field theories by bringing together many topics which are usually covered only separately in different books. Thus, this book is definitely a must-read for people active in this field." Axel Maas, Mathematical Reviews

Preface
Acknowledgements
Non-Perturbative Methods in Two Dimensional Field Theory
From massless free scalar field to conformal field theories
Conformal field theory
Theories invariant under affine current algebras
Wess-Zumino-Witten model and Coset models
Solitons and two dimensional integrable models
Bosonization
The large N limit of two dimensional models
Two Dimensional Non-Perturbative Gauge Dynamics
Gauge theories in two dimensions - basics
Bosonized gauge theories
The t'Hooft solution of 2d QCD
Mesonic spectrum from current algebra
DLCQ and the spectra of QC with fundamental and adjoint fermions
The baryonic spectrum of multiflavour QCD2 in the strong coupling limit
Confinement versus screening
QCD2, Coset models and BRST quantization
Generalized Yang Mills theory on Riemann surface
From Two to Four Dimensions
Conformal invariance in four dimensional field theories and in QCD
Integrability in four dimensional gauge dynamics
Large N methods in QCD4
From 2d bosonized baryons to 4d skyrmions
From two dimensional solitons to four dimensional magnetic monopoles
Instantons of QCD
Summary, conclusions and outlook
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521662659
ISBN-10: 0521662656
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 456
Published: 1st April 2010
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 25.3 x 18.2  x 3.0
Weight (kg): 0.96