The rise of quantum electrodynamics (QED) made possible a number of excellent textbooks on quantum field theory in the 1960s. However, the rise of quantum chromodynamics (QCD) and the Standard Model has made it urgent to have a fully modern textbook for the 1990s and beyond. Building on the
foundation of QED, Quantum Field Theory: A Modern Introduction presents a clear and comprehensive discussion of the gauge revolution and the theoretical and experimental evidence which makes the Standard Model the leading theory of subatomic phenomena. The book is divided into three parts: Part I,
Fields and Renormalization, lays a solid foundation by presenting canonical quantization, Feynman rules and scattering matrices, and renormalization theory. Part II, Gauge Theory and the Standard Model, focuses on the Standard Model and discusses path integrals, gauge theory, spontaneous symmetry
breaking, the renormalization group, and BPHZ quantization. Part III, Non-perturbative Methods and Unification, discusses more advanced methods which now form an essential part of field theory, such as critical phenomena, lattice gauge theory, instantons, supersymmetry, quantum gravity,
supergravity, and superstrings.
PART I: Quantum Fields and Renormalization
1. Why Quantum Field Theory?
2. Symmetries and Group Theory
3. Spin O and 1/2 Fields
4. Quantum Electrodynamics
5. Feynman Rules and LSZ Reduction
6. Scattering Processes and the S-Matrix
7. Renormalization
PART
II: Gauge Theory and the Standard Model
8. Path Integrals
9. Gauge Theory
10. The Weinberg-Salam Model
11. The Standard Model
12. Ward Identities, BRST, and Anomalies
13. Renormalization of Gauge Theories
14. QCD and the Renormalization Group
PART III:
Non-Perturbative Methods and Unification
15. Lattice Gauge Theory
16. Solitons, Monopoles, and Instantons
17. Phase Transitions and Critical Phenomena
18. Grand Unified Theories
19. Quantum Gravity
20. Supersymmetry and Supergravity
21. Superstrings
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Michio Kaku is at City College of CUNY.
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