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Quantum field theory is the basis of our modern description of physical phenomena at the fundamental level. This systematic and comprehensive text emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. This Second Edition is revised to include topics developed in the last decade, including higher-form global symmetries and their applications, anomalies in supersymmetric theories beyond Ferrara–Zumino, and non-Abelian supersymmetric vortex strings. A new final part is added, presenting more than 90 problems with detailed solutions, allowing students to check their understanding of the acquired knowledge and providing extra details to supplement the main text descriptions. This an indispensable book for graduate students and researchers in theoretical physics.
Introduction
Before Supersymmetry
Phases of Gauge Theories
Kinks and DomainWalls
Vortices and Flux Tubes (Strings)
Monopoles and Skyrmions
Instantons
Isotropic (Anti)ferromagnet: O(3) Sigma Model and Extensions, Including CP(N − 1)
False-Vacuum Decay and Related Topics
Chiral and Other Anomalies
Confinement in 4D Gauge Theories and Models in Lower Dimensions
Introduction to Supersymmetry
Basics of Supersymmetry with Emphasis on Gauge Theories
Supersymmetric Solitons