Xi Yin | Spring 2023 | Harvard University
A continuation of Physics 253a. Topics include: resonances, implications of analyticity and unitarity, infrared divergence, the renormalization group, epsilon expansion, non-Abelian gauge theories, asymptotic freedom and confinement, spontaneous symmetry breaking, chiral perturbation theory and anomalies.
General
Lecture Notes
Part 1 The S-Matrix
Bound States and Resonances
Implications of Causality and Unitarity
Infrared Divergence
Part 2 Renormalization Group
BPHZ Renormalizability
The 1PI Effective Action
Improved Perturbation Theory (via the Gell-Mann–Low Equation)
Wilson-Polchinski Renormalization Group
ϵ-Expansion
Part 3 QCD
Quantization of Non-Abelian Gauge Theory
BRST and BV Formalisms
Asymptotic Freedom
Operator Product Expansion (OPE) and Deep Inelastic Scattering
1/N Expansion
Chiral Symmetry Breaking and the Effective Theory of Pions
Anomalies
Instantons
Additional Notes
Mathematical Aspects of QM
Path integrals, index theorems, Morse theory, and instantons.
Foundational Aspects of QFT
Wightman axioms, scattering theory, form factors, lattice theory, and Borel resummation.