I’ve uploaded a new aggregate notes collection of my UofT phy2403 Quantum Field Theory I class notes (taught by Prof. Erich Poppitz), which now includes up to Wed Oct 17th’s lecture 11 (but doesn’t have my problem set I solution)

• 1 Introduction
• 1.1 What is a field?
• 1.2 Scales.
• 1.2.2 Compton wavelength.
• 1.2.3 Relations.
• 2 Units, scales, and Lorentz transformations.
• 2.1 Natural units.
• 2.2 Gravity.
• 2.3 Cross section.
• 2.4 Lorentz transformations.
• 3 Lorentz transformations and a scalar action.
• 3.1 Determinant of Lorentz transformations.
• 3.2 Field theory.
• 3.3 Actions.
• 3.4 Problems.
• 4 Scalar action, least action principle, Euler-Lagrange equations for a field, canonical quantization.
• 4.1 Principles cont.
• 4.2 d = 2 .
• 4.3 d = 3 .
• 4.4 d = 4 .
• 4.5 d = 5 .
• 4.6 Least action principle (classical field theory)
• 4.7 Canonical quantization.
• 5 Klein-Gordon equation, SHOs, momentum space representation, raising and lowering operators.
• 5.1 Canonical quantization.
• 5.2 Momentum space representation.
• 6 Canonical quantization, Simple Harmonic Oscillators, Symmetries
• 6.1 Quantization of Field Theory.
• 6.2 Free Hamiltonian.
• 6.3 QM SHO review.
• 6.4 Discussion.
• 6.5 Switching gears: Symmetries.
• 7 Symmetries, translation currents, energy momentum tensor.
• 7.1 Symmetries.
• 7.2 Spacetime translation.
• 8 1st Noether theorem, spacetime translation current, energy momentum tensor, dilatation current.
• 8.1 1st Noether theorem.
• 8.2 Unitary operators.
• 8.3 Continuous symmetries.
• 8.4 Classical scalar theory.
• 9 Unbroken and spontaneously broken symmetries, Higgs Lagrangian, scale invariance, Lorentz invariance, angular momentum quantization
• 9.1 Last time.
• 9.2 Examples of symmetries.
• 9.3 Scale invariance.
• 9.4 Lorentz invariance.
• 10 Lorentz boosts, generator of spacetime translation, Lorentz invariant field representation.
• 10.1 Lorentz transform symmetries.
• 10.2 Transformation of momentum states.
• 11 Microcausality, Lorentz invariant measure, retarded time SHO Green’s function.
• 11.1 Relativistic normalization.
• 11.2 Spacelike surfaces.
• 11.3 Condition on microcausality.
• 11.4 Harmonic oscillator.
• 11.5 Field theory (where we are going).
• 12 Independent study problems
• Appendices
• A Useful formulas and review
• Index
• Bibliography