I’ve now uploaded a new version of my class notes for PHY2403, the UofT Quantum Field Theory I course, taught this year by Prof. Erich Poppitz.
This version includes the following chapters, roughly one per lecture, plus some extras
- Introduction
- Units, scales, and Lorentz transformations.
- Lorentz transformations and a scalar action.
- Scalar action, least action principle, Euler-Lagrange equations for a field, canonical quantization.
- Klein-Gordon equation, SHOs, momentum space representation, raising and lowering operators.
- Canonical quantization, Simple Harmonic Oscillators, Symmetries
- Symmetries, translation currents, energy momentum tensor.
- 1st Noether theorem, spacetime translation current, energy momentum tensor, dilatation current.
- Unbroken and spontaneously broken symmetries, Higgs Lagrangian, scale invariance, Lorentz invariance, angular momentum quantization
- Lorentz boosts, generator of spacetime translation, Lorentz invariant field representation.
- Microcausality, Lorentz invariant measure, retarded time SHO Green’s function.
- Klein-Gordon Green’s function, Feynman propagator path deformation, Wightman function, Retarded Green’s function.
- Forced Klein-Gordon equation, coherent states, number density, time ordered product, perturbation theory, Heisenberg picture, interaction picture, Dyson’s formula
- Time evolution, Hamiltonian pertubation, ground state
- Perturbation ground state, time evolution operator, time ordered product, interaction
- Differential cross section, scattering, pair production, transition amplitude, decay rate, S-matrix, connected and amputated diagrams, vacuum fluctuation, symmetry coefficient
- Scattering, decay, cross sections in a scalar theory.
- Problem Set 1.
- Problem Set 2.
- Independent study problems
- Useful formulas and review.
- Momentum of scalar field.
- Index
- Bibliography
Problem set 1-2 solutions are redacted. If you aren’t a UofT student taking PHY2403, feel free to contact me for an un-redacted copy.