| Date | Notes |
| Wednesday 1/7 | Introductions, course policies. Review of evaluation of loop integrals. |
| Friday 1/9 | Finish review of vertex renormalization from Chapter 6. |
| Monday 1/12 | Extra dimensions: Kaluza-Klein theories. Complex scalar field in 5 dimensions. Kaluza-Klein tower. Warped extra dimensions. Supersymmetry. |
| Wednesday 1/14 | Section 7.1 Field Strength Renormalization. Bare parameters. Physical mass. Field-strength renormalization constant. The electron propagator: resumming the 1PI diagrams to all orders. Relation between the bare and physical parameters. |
| Friday 1/16 | The electron self energy at one loop. |
| Monday 1/19 | Martin Luther King Jr. Day |
| Wednesday 1/21 | LSZ reduction formula. Relation between matrix elements and Feynman diagrams. Sec. 7.3: The optical theorem. |
| Friday 1/23 | Unstable particles. |
| Monday 1/26 | Sec. 7.4: The Ward-Takahashi identity - derivation. |
| Wednesday 1/28 | Finish section 7.4: application of the Ward-Takahashi identity. Section 7.5: Renormalization of the electric charge. Tensor structure of the photon propagator. Resummation of 1PI diagrams into the photon proipagator. Begin chapter 10: Counting of UV divergences. |
| Friday 1/30 | Superficial degree of divergence. Algebraic relations between the number of loops, vertices, electron and photon lines in a QED diagram. Formula for the superficial degree of divergence of a QED diagram in terms of the number of external photon and fermion lines. Classification of the potentially divergent diagrams in QED. |
| Monday 2/2 | Generalization to QED in d dimensions. Renormalizable, super-reormalizable and non-renormalizable theories. Another example: phiN theory. Relation between renormalizability and the dimension of the coupling constants. |
| Wednesday 2/4 | Renormalized perturbation theory. Bare and renormalized quantities. Counterterms. Feynman rules. One-loop structure of phi4 theory. Renormalization of the 4-point function. |
| Friday 2/6 | Dimensional regularization (section 7.5). Renormalization of the 2-point function. Mass and wave-function renormalization. |
| Monday 2/9 | Renormalization at higher orders. |
| Wednesday 2/11 | The Callan-Symanzik equation. Solution to the Callan-Symanzik equation. |
| Friday 2/13 | RGE for the scalar self-coupling in lambda phi4 theory. Solution to the RGE. Landau pole. Triviality bounds on the Higgs mass. Mass-independent renormalization schemes, minimal subtraction. Physical mass versus running mass. Alternative derivation of the RGEs. |
| Monday 2/16 | Path integrals. Discretization. |
| Wednesday 2/18 | Finish the proof that the path inegral amplitude satisfies the Schrodinger equation. Discussion of Homework No. 3. |
| Friday 2/20 | Difference between Hamiltonian and Lagrangian description. Generalization to arbitrary systems. Integration over the momenta in the path integral. |
| Monday 2/23 | No class: KM out of town (DOE panel in Washington DC) |
| Wednesday 2/25 | No class: KM out of town (DOE panel in Washington DC) |
| Friday 2/27 | Generating functional for the free scalar field theory. Grassmann calculus. Grassmann integrals. Functional quantization of fermions. |
| Monday 3/2 | Spring break. |
| Wednesday 3/4 | Spring break. |
| Friday 3/6 | Spring break. |
| Monday 3/9 | Discussion on final projects. |
| Wednesday 3/11 | Non-abelian gauge theories. Covariant derivative. Transformation law of the gauge field. Field strength tensor. Transformation law of the field-strength tensor. Gauge invariant Lagrangians. |
| Friday 3/13 | Basic facts about Lie algebras. Fndamental and adjoint representations of SU(N). Non-abelian gauge theories: application. The Standard Model. Particle representations of the SM. Gauge couplings of fermions. The beta functions of the SM. The beta functions of the MSSM. |
| Monday 3/16 | Running of the strong coupling constant. Asymptotic freedom. Gauge coupling unification. Section 17.1. From Quarks to QCD. Section 17.2 Electron-positron annihilation into Hadrons. NLO QCD corrections. |
| Wednesday 3/18 | Section 17.3. Deep Inelastic Scattering [individual reading]. The Parton Distribution Functions. General kinematics of pair-production. |
| Friday 3/20 | No class: KM out of town. |
| Monday 3/23 | No class: KM out of town. |
| Wednesday 3/25 | Triple and quartic gauge boson couplings. W and Z boson mass spectrum. Weinberg angle. |
| Friday 3/27 | Section 20.2. The Glashow-Weinberg-Salam Theory of Weak Interactions. Yukawa couplings in the Standard Model. W and Z branching fractions. CKM angles. Complex phases. |
| Monday 3/30 | Yukawa sector of the SM. Higgs branching fractions. CKM angles. |
| Wednesday 4/1 | Guest lecturer (S. Raha): Chapter 25. Dark matter. |
| Friday 4/3 | Guest lecturer (S. Wang): Chapter 32. Passage of particles through matter. |
| Monday 4/6 | Guest lecturer (D. Brooker): Chapter 12. CKM quark mixing matrix. |
| Wednesday 4/8 | Guest lecturer (E. Torres): Randall Sundrum. |
| Friday 4/10 | Guest lecturer (Y. Han): Chapter 48. Cross-section formulae for particular processes. |
| Monday 4/13 | Guest lecturer (A. Weaver): Chapter 10. Electroweak model. |
| Wednesday 4/15 | Guest lecturer (J. Park): Chapter 16. Grand unified theories. |
| Friday 4/17 | Guest lecturer (S. Chakrabarty): Chapter 13. CP violation in the quark sector. Strong CP problem and axions. |
| Monday 4/20 | Guest lecturer (P. Shyamsundar): Chapter 46. Kinematics. Transverse mass. The Cambridge MT2 variable and the Florida Smin and M2 variables. |
| Wednesday 4/22 | Guest lecturer (S. Wilcox): Chapter 15. Quark model. |