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.
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Matthew D. Schwartz is an Associate Professor of Physics at Harvard University. He is one of the world's leading experts on quantum field theory and its applications to the Standard Model.
'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
'Every single one of these pages is packed with information. … this
book grew out of lectures Schwartz has given to graduate students
at Harvard, and it becomes very clear that he is well aware of
possible pitfalls and problems of understanding that students may
have. … The first part of the book should be accessible for
beginning graduate students who have mastered quantum mechanics,
special relativity and electrodynamics. The second part of the book
will also be useful for advanced students and researchers who want
to learn how to perform calculations in the standard model. …
Schwartz has done a great job in presenting his view on this
complex matter, and I wish this book had already existed when I
learned the subject! I recommend it to anyone dedicated to learning
quantum field theory and the physics of the standard model.' Thomas
Peters, Contemporary Physics
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