| Preface for students | |
| Preface for instructors | |
| Acknowledgements | |
| Spin Zero | |
| Attempts at relativistic quantum mechanics | |
| Lorentz invariance | |
| Canonical quantization of scalar fields | |
| The spin-statistics theorem | |
| The LSZ reduction formula | |
| Path integrals in quantum mechanics | |
| The path integral for the harmonic oscillator | |
| The path integral for free field theory | |
| The path integral for interacting field theory | |
| Scattering amplitudes and the Feynman rules | |
| Cross sections and decay rates | |
| Dimensional analysis with ?=c=1 | |
| The Lehmann-Kñll(c)n form | |
| Loop corrections to the propagator | |
| The one-loop correction in Lehmann-Kñll(c)n form | |
| Loop corrections to the vertex | |
| Other 1PI vertices | |
| Higher-order corrections and renormalizability | |
| Perturbation theory to all orders | |
| Two-particle elastic scattering at one loop | |
| The quantum action | |
| Continuous symmetries and conserved currents | |
| Discrete symmetries: P, T, C, and Z | |
| Nonabelian symmetries | |
| Unstable particles and resonances | |
| Infrared divergences | |
| Other renormalization schemes | |
| The renormalization group | |
| Effective field theory | |
| Spontaneous symmetry breaking | |
| Broken symmetry and loop corrections | |
| Spontaneous breaking of continuous symmetries | |
| Spin One Half | |
| Representations of the Lorentz Group | |
| Left- and right-handed spinor fields | |
| Manipulating spinor indices | |
| Lagrangians for spinor fields | |
| Canonical quantization of spinor fields I | |
| Spinor technology | |
| Canonical quantization of spinor fields II | |
| Parity, time reversal, and charge conjugation | |
| LSZ reduction for spin-one-half particles | |
| The free fermion propagator | |
| The path integral for fermion fields | |
| Formal development of fermionic path integrals | |
| The Feynman rules for Dirac fields | |
| Spin sums | |
| Gamma matrix technology | |
| Spin-averaged cross sections | |
| The Feynman rules for majorana fields | |
| Massless particles and spinor helicity | |
| Loop corrections in Yukawa theory | |
| Beta functions in Yukawa theory | |
| Functional determinants | |
| Spin One | |
| Maxwell's equations | |
| Electrodynamics in coulomb gauge | |
| LSZ reduction for photons | |
| The path integral for photons | |
| Spinor electrodynamics | |
| Scattering in spinor electrodynamics | |
| Spinor helicity for spinor electrodynamics | |
| Scalar electrodynamics | |
| Loop corrections in spinor electrodynamics | |
| The vertex function in spinor electrodynamics | |
| The magnetic moment of the electron | |
| Loop corrections in scalar electrodynamics | |
| Beta functions in quantum electrodynamics | |
| Ward identities in quantum electrodynamics I | |
| Ward identities in quantum electrodynamics II | |
| Nonabelian gauge theory | |
| Group representations | |
| The path integral for nonabelian gauge theory | |
| The Feynman rules for nonabelian gauge theory | |
| The beta function for nonabelian gauge theory | |
| BRST symmetry | |
| Chiral gauge theories and anomalies | |
| Anomalies in global symmetries | |
| Anomalies and the path integral for fermions | |
| Background field gauge | |
| Gervais-Neveu gauge | |
| The Feynman rules for N x N matrix fields | |
| Scattering in quantum chromodynamics | |
| Wilson loops, lattice theory, and confinement | |
| Chiral symmetry breaking | |
| Spontaneous breaking of gauge symmetries | |
| Spontaneously broken abelian gauge theory | |
| Spontaneously broken nonabelian gauge theory | |
| The standard model: Gauge and Higgs sector | |
| The standard model: Lepton sector | |
| The standard model: Quark sector | |
| Electroweak interactions of hadrons | |
| Neutrino masses | |
| Solitons and monopoles | |
| Instantons and theta vacua | |
| Quarks and theta vacua | |
| Supersymmetry | |
| The minimal supersymmetric standard model | |
| Grand unification | |
| Bibliography | |
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