related course: NumQM related course: NumII

Topics

0. Particle Physics for Babies

• why QFT? (why not?)
• gauge theory
• DoFs and World Domination

1. Advanced Quantum Mechanics

• Green’s function
• scattering theory
• notes: basics

2. Quantum Fields

• scalars, fermions

• important QED processes

• gauge fields and differential forms

• notes: Basic Fields

• notes: Differential Forms

• notes: QFT amplitudes

3. Symmetries

• su2 and su3
• chiral symmetry and its spontaneous breaking
• notes: Flavor Symmetry

4. Vacuum polarization of photon

• basic derivation
• RG flow and running coupling
• decay kinematics and optical theorem

5. Advanced Topics

• functional method
• finite temperature field theory

Healthy Food for Thoughts / Project Ideas

• How to Renormalize the Schroedinger Equation (peak of human civilization!)

• NJL models

• Renormalization Group

• Swimming with Quarks

• Functional Methods and SDEs

• large N models

• EFT: few Nucleons

• chiral effective field theory and nuclear forces

• baryogenesis

Homeworks

• hw01 grade