Quantum Field Theory and the Standard Model
Cambridge University Press, 12/31/2013
EAN 9781107034730, ISBN10: 1107034736
Hardcover, 952 pages, 25.2 x 19.4 x 3.7 cm
Language: English
Providing a comprehensive introduction to quantum field theory, this textbook covers the development of particle physics from its foundations to the discovery of the Higgs boson. Its combination of clear physical explanations, with direct connections to experimental data, and mathematical rigor make the subject accessible to students with a wide variety of backgrounds and interests. Assuming only an undergraduate-level understanding of quantum mechanics, the book steadily develops the Standard Model and state-of-the-art calculation techniques. It includes multiple derivations of many important results, with modern methods such as effective field theory and the renormalization group playing a prominent role. Numerous worked examples and end-of-chapter problems enable students to reproduce classic results and to master quantum field theory as it is used today. Based on a course taught by the author over many years, this book is ideal for an introductory to advanced quantum field theory sequence or for independent study.
Part I. Field Theory
1. Microscopic theory of radiation
2. Lorentz invariance and second quantization
3. Classical Field Theory
4. Old-fashioned perturbation theory
5. Cross sections and decay rates
6. The S-matrix and time-ordered products
7. Feynman rules
Part II. Quantum Electrodynamics
8. Spin 1 and gauge invariance
9. Scalar QED
10. Spinors
11. Spinor solutions and CPT
12. Spin and statistics
13. Quantum electrodynamics
14. Path integrals
Part III. Renormalization
15. The Casimir effect
16. Vacuum polarization
17. The anomalous magnetic moment
18. Mass renormalization
19. Renormalized perturbation theory
20. Infrared divergences
21. Renormalizability
22. Non-renormalizable theories
23. The renormalization group
24. Implications of Unitarity
Part IV. The Standard Model
25. Yang–Mills theory
26. Quantum Yang-Mills theory
27. Gluon scattering and the spinor-helicity formalism
28. Spontaneous symmetry breaking
29. Weak interactions
30. Anomalies
31. Precision tests of the standard model
32. QCD and the parton model
Part V. Advanced Topics
33. Effective actions and Schwinger proper time
34. Background fields
35. Heavy-quark physics
36. Jets and effective field theory
Appendices
References
Index.
'This is an excellent graduate-level relativistic quantum field theory text, covering an impressive amount of material often with a very novel presentation. It would be ideal either for courses on relativistic quantum field theory or for courses on the Standard Model of elementary particle interactions. The book provides interesting insights and covers many modern topics not usually presented in current texts such as spinor-helicity methods and on-shell recursion relations, heavy quark effective theory and soft-collinear effective field theory. It is nice to see the modern point of view on the predictive power of non-renormalizable theories discussed. Once in a generation particle physicists elevate a quantum field theory text to the rank of classic. Two such classics are the texts by Bjorken and Drell and Peskin and Schroeder; it wouldn't surprise me if this new book by Schwartz joins this illustrious group.' Mark Wise, California Institute of Technology
'A wonderful tour of quantum field theory from the modern perspective, filled with insights on both the conceptual underpinnings and the concrete, elegant calculational tools of the subject.' Nima Arkani-Hamed, Institute for Advanced Study, Princeton
'Schwartz has produced a new and valuable introduction to quantum field theory. He has rethought the whole presentation of the subject, from the introductory and foundational concepts to new developments such as effective field theory descriptions of quark dynamics. Students will enjoy viewing quantum field theory from his perspective.' Michael E. Peskin, SLAC National Accelerator Laboratory, Stanford University
'Schwartz's book grew out of a popular year long course in quantum field theory at Harvard. Designed primarily for graduate students, this course also attracts and inspires a number of undergraduates each year. The book is unique in its combination of breadth, depth and readability. Schwartz starts at the beginning of the subject and brings us right up to the present. That the book is neither superficial nor impossibly dense is rather remarkable and makes it easy to understand the course's success.' Howard Georgi, Harvard University
'In this book, Schwartz gives a thoughtful and modern treatment of many classical and contemporary topics. Students and experienced researchers will find much here of value.' Edward Witten, Institute for Advanced Study, Princeton