| Date |
Tuesday |
Thursday |
| Aug. 30, Sept. 1 |
1,2; 1
a bit of history, concept of quantum
field and vacuum, harmonic oscillator, Lagrangian
formulation of small amplitude string motion |
1,2; 1 quantum
scalar field |
| Sept. 6, 8 |
1.6,7; Fock space, review of special relativity (notes) |
1.10,11; Heisenberg picture,
causality and propagators |
| Sept. 13, 15 |
1.11, 2.1
causality, Lorentz invariant
phase space, Feynman propagator, interacting
vacuum |
2.2-4; 6
Kallen-Lehmann representation,
S-matrix, asymptotic states, LSZ reduction formula
|
| Sept. 20, 22 |
7, 2.5-6
interaction picture,
Wick's theorem |
7, 2.7-9 diagrammatic expansion |
| Sept. 27, 29 |
7,
2.10 Feynman
rules |
5,
2.11 Cross-sections
& decay rates |
| Oct. 4, 6 |
schematic
summary of last 5 classes, 2-body phase space,
tree-level 2-2 scattering in
theory, Mandelstam parameters |
8 spin-1 field |
| Oct. 11, 13 |
10 spinors;
Dirac equation, Weyl equation |
10 spinors
(what did we do this day?) |
| Oct. 18, 20 |
10, 11
spinors; Dirac matrices; SL(2,C) double cover of
SO(3,1) |
10, 11
spinors; L & R representations of the
Lorentz group; Lorentz invariance of the action;
Majorana mass term |
| Oct. 25, 27 |
12 complex
mass parameters, CP violating phases in mass
matrix, Euler-Lagrange equations for complex field
variables, quantizing spinors, T-ordering
fermions, Lorentz invariance of Feynman propagator |
12
positive energy & anticommutators,
negative vacuum energy, phase
invariance & charge
conservation, anti-particles, gauge-covariant
derivative, gauge-invariant em action |
| Nov. 1, 3 |
13 Higgs mechanism; QED, Feyn. rules | 13 QED; cross
section for electron-positron scattering to
hadrons; asymptotic freedom |
| Nov. 8, 10 |
Compton
scattering |
radiative
corrections |
| Nov. 15, 17 |
Lamb shift |
scalar
renormalization |
| Nov. 22, 24 |
renormalized
charge in QED, Feynman parameters, Wick rotation,
dimensional regularization |
|
| Nov. 29, Dec. 1 |
continuation
of last class, beta function, Landau pole |
beta function for QCD |
| Dec. 6, 8 |
no class |
no class |
| Dec. 13, 15 |
coupling constant unification, renormalized perturbation theory | Classification of renormalizable theories, effective field theories, hierarchy problem |