Module #1 Introduction to Quantum Field Theory Overview of the course, historical context, and motivation for studying QFT
Module #2 Classical Fields and Relativistic Particles Review of classical fields, relativistic particles, and the need for quantization
Module #3 Quantization of the Free Scalar Field Introduction to canonical quantization, creation and annihilation operators, and the harmonic oscillator
Module #4 Properties of the Free Scalar Field Calculation of propagators, Feynman rules, and scattering amplitudes
Module #5 Interacting Scalar Fields Introduction to interacting fields, Feynman diagrams, and perturbation theory
Module #6 Renormalization Group and Running Couplings Introduction to the renormalization group, running couplings, and the concept of scale
Module #7 Quantization of the Free Fermion Field Introduction to spinors, Clifford algebras, and the Dirac equation
Module #8 Properties of the Free Fermion Field Calculation of propagators, Feynman rules, and scattering amplitudes for fermions
Module #9 Interacting Fermion Fields Introduction to interacting fermion fields, Feynman diagrams, and perturbation theory
Module #10 Symmetries and Conservation Laws Introduction to symmetries, Noethers theorem, and conservation laws in QFT
Module #11 Gauge Theories and Electromagnetism Introduction to gauge theories, electromagnetism, and the photon
Module #12 Non-Abelian Gauge Theories Introduction to non-Abelian gauge theories, Yang-Mills theory, and the gluon
Module #13 Quantum Electrodynamics (QED) Detailed study of QED, including radiative corrections and renormalization
Module #14 Weak Interactions and the Electroweak Theory Introduction to the weak interaction, the electroweak theory, and the Higgs mechanism
Module #15 Strong Interactions and Quantum Chromodynamics (QCD) Introduction to the strong interaction, QCD, and the gluon
Module #16 Hadronic Physics and Confinement Study of hadronic physics, confinement, and the parton model
Module #17 Renormalization Group and Asymptotic Freedom Detailed study of the renormalization group, asymptotic freedom, and the running of couplings
Module #18 Path Integrals and the Feynman Path Integral Introduction to path integrals, the Feynman path integral, and their application to QFT
Module #19 Lattice Field Theory and Numerical Methods Introduction to lattice field theory, numerical methods, and their application to QFT
Module #20 Anomalies and Topology Study of anomalies, topology, and their role in QFT
Module #21 Spontaneous Symmetry Breaking and the Higgs Mechanism Detailed study of spontaneous symmetry breaking, the Higgs mechanism, and the Higgs boson
Module #22 Beyond the Standard Model Introduction to beyond the Standard Model physics, including supersymmetry, extra dimensions, and grand unification
Module #23 Quantum Field Theory and Condensed Matter Physics Study of the application of QFT to condensed matter physics, including superconductivity and superfluidity
Module #24 Course Wrap-Up & Conclusion Planning next steps in Quantum Field Theory career
