Quantum Field Theory
( 24 Modules )

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

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Quantum Field Theory ( 24 Modules )

Quantum Field Theory
( 24 Modules )