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What You'll Learn
Concepts:
Momentum-Space Feynman Rules for λφ⁴ Theory
Physics
Grassmann Number Algebra in Quantum Field Theory
Classical Abelian Gauge Theory and Maxwell Electrodynamics Equations
Non-Abelian Yang-Mills Theory and Classical Equations of Motion
Non-Renormalizable Couplings and Effective Field Theory
Interacting QFT, Perturbation Theory, and the Källén-Lehmann Spectral Representation
QCD Asymptotic Freedom and Confinement Mechanism
Renormalization of the Two-Point Function via 1PI Self-Energy Resummation
Path Integral Quantization of the Free Scalar Field and the Feynman Propagator
Power Counting and Renormalizability Classes in Scalar Field Theory
Mathematics for nonmathematicians (engineering, social sciences, etc.)
Quantizing Yang-Mills Theory: Faddeev-Popov Ghosts and Gauge Fixing
Non-Abelian Gauge Covariant Derivative and Transformation Laws in SU(N)
U(1) Gauge Invariance and the Derivation of Quantum Electrodynamics