Non-Perturbative Field Theory

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Yitzhak Frishman (Weizmann Institute of Science, Israel) Jacob Sonnenschein (Tel-Aviv University)

Non-Perturbative Field Theory

Yitzhak Frishman (Weizmann Institute of Science, Israel), Jacob Sonnenschein (Tel-Aviv University)

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English

Cambridge University Press
27 July 2023

Series: Cambridge Monographs on Mathematical Physics

Providing a new perspective on quantum field theory, this book gives a pedagogical exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research in theoretical physics. After describing non-perturbative methods in detail, it uses these methods to explore two-dimensional and four-dimensional gauge dynamics. 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 in particular, are thoroughly described. Published originally in 2010, this title has been reissued as an Open Access publication on Cambridge Core.

By: Yitzhak Frishman (Weizmann Institute of Science Israel), Jacob Sonnenschein (Tel-Aviv University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 244mm, Width: 170mm, Spine: 23mm
Weight: 780g
ISBN: 9781009401616
ISBN 10: 1009401610
Series: Cambridge Monographs on Mathematical Physics
Pages: 456
Publication Date: 27 July 2023
Audience: College/higher education , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Preface; Acknowledgements; Part I. Non-Perturbative Methods in Two Dimensional Field Theory: 1. From massless free scalar field to conformal field theories; 2. Conformal field theory; 3. Theories invariant under affine current algebras; 4. Wess-Zumino-Witten model and Coset models; 5. Solitons and two dimensional integrable models; 6. Bosonization; 7. The large N limit of two dimensional models; Part II. Two Dimensional Non-Perturbative Gauge Dynamics: 8. Gauge theories in two dimensions – basics; 9. Bosonized gauge theories; 10. The t'Hooft solution of 2d QCD; 11. Mesonic spectrum from current algebra; 12. DLCQ and the spectra of QC with fundamental and adjoint fermions; 13. The baryonic spectrum of multiflavour QCD2 in the strong coupling limit; 14. Confinement versus screening; 15. QCD2, Coset models and BRST quantization; 16. Generalized Yang Mills theory on Riemann surface; Part III. From Two to Four Dimensions: 17. Conformal invariance in four dimensional field theories and in QCD; 18. Integrability in four dimensional gauge dynamics; 19. Large N methods in QCD4; 20. From 2d bosonized baryons to 4d skyrmions; 21. From two dimensional solitons to four dimensional magnetic monopoles; 22. Instantons of QCD; 23. Summary, conclusions and outlook; References; Index.

Yitzhak Frishman is a Professor Emeritus at the Weizmann Institute, Israel, where he has served as Head of the Einstein Centre for Theoretical Physics and Head of the Department of Particle Physics. Jacob Sonnenschein is a Professor of Physics at Tel Aviv University, Israel, where he was Head of the Particle Physics Department from 2003 to 2007.

Reviews for Non-Perturbative Field Theory

""... 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