iv CONTENTS
6.6. Feynman diagrams 154
6.7. Feynman diagrams in momentum space 162
6.8. Cross sections and decay rates 167
6.9. QED, the Coulomb potential, and the Yukawa potential 172
6.10. Compton scattering 177
6.11. The Gell-Mann–Low and LSZ formulas 180
Chapter 7. Renormalization 191
7.1. Introduction 192
7.2. Power counting 196
7.3. Evaluation and regularization of Feynman diagrams 200
7.4. A one-loop calculation in scalar field theory 206
7.5. Renormalized perturbation theory 211
7.6. Dressing the propagator 214
7.7. The Ward identities 219
7.8. Renormalization in QED: general structure 224
7.9. One-loop QED: the electron propagator 234
7.10. One-loop QED: the photon propagator and vacuum polarization 237
7.11. One-loop QED: the vertex function and magnetic moments 244
7.12. Higher-order renormalization 251
Chapter 8. Functional Integrals 257
8.1. Functional integrals and quantum mechanics 257
8.2. Expectations, functional derivatives, and generating functionals 265
8.3. Functional integrals and Boson fields 271
8.4. Functional integrals and Fermion fields 278
8.5. Afterword: Gaussian processes 287
Chapter 9. Gauge Field Theories 291
9.1. Local symmetries and gauge fields 291
9.2. A glimpse at quantum chromodynamics 297
9.3. Broken symmetries 299
9.4. The electroweak theory 303
Bibliography 317
Index 323
Previous Page Next Page