Includes bibliographical references (pages 834-841) and index
Field theory: Microscopic theory of radiation ; Lorentz invariance and second quantization ; Classical field theory ; Old-fashioned perturbation theory ; Cross sections and decay rates ; The S-matrix and time-ordered products ; Feynman rules -- Quantum electrodynamics: Spin 1 and gauge invariance ; Scalar quantum electrodynamics ; Spinors ; Spinor solutions and CPT ; Spin and statistics ; Quantum electrodynamics ; Path integrals -- Renormalization: The Casimir effect ; Vacuum polarization ; The anomalous magnetic moment ; Mass renormalization ; Renormalized perturbation theory ; Infrared divergences ; Renormalizability ; Non-renormalizable theories ; The renormalization group ; Implications of Unitarity -- The standard model: Yang-Mills theory ; Quantum Yang-Mills theory ; Gluon scattering and the spinor-helicity formalism ; Spontaneous symmetry breaking ; Weak interactions ; Anomalies ; Precision tests of the standard model ; Quantum chromodynamics and the parton model -- Advanced topics: Effective actions and Schwinger proper time ; Background fields ; Heavy-quark physics ; Jets and effective field theory -- Appendices
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"Lorentz invariance and second quantization In the previous chapter, we saw that by treating each mode of electromagnetic radiation in a cavity a simple harmonic oscillator, we can derive Einstein's relation between the coefficients of induced and spontaneous emission without resorting to statistical mechanics. "--
"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"--