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Canonical Quantization of QFT
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Module 7
Non-Abelian Gauge Theories and QCD
1
SU(N) Gauge Theory Construction
Construct a non-Abelian gauge theory with SU(N) symmetry, deriving the covariant derivative and field strength tensor.
2
Yang-Mills Lagrangian & Gauge Boson Self-Interactions
Write the Yang-Mills Lagrangian and identify the gauge boson self-interaction terms.
3
QCD Lagrangian and Color Charge
Introduce color charge and formulate the Lagrangian for Quantum Chromodynamics (QCD) with SU(3) gauge symmetry.
4
Faddeev-Popov Quantization and Ghost Fields
Explain the Faddeev-Popov procedure for quantizing non-Abelian gauge theories and the role of ghost fields.
5
Feynman Rules for QCD
Derive the Feynman rules for quarks, gluons, and ghosts in QCD.
6
Color Factors in SU(N) Gauge Theory
Define and compute color factors for SU(N) gauge group interactions using generator identities.
7
Tree-Level Amplitudes in Quark-Quark Scattering
Calculate the tree-level amplitude for a representative QCD process, such as quark-quark scattering (qq → qq).
8
QCD Beta Function & Asymptotic Freedom
Calculate the one-loop beta function for QCD and explain how it leads to asymptotic freedom.
Previous module
Path Integral Formulation of Quantum Field Theory
Next module
Spontaneous Symmetry Breaking and the Higgs Mechanism