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: Scalar Fields

• notes: Basic Fields

• notes: Differential Forms

• notes: QFT amplitudes

3. Vacuum polarization of photon

• basic derivation

• RG flow and running coupling

• decay kinematics and optical theorem

• notes: QED polarization

• notes: running coupling

• PDG alpha

4. Symmetries

• Chiral Symmetry and its Spontaneous Breaking
• UA(1) problem in QCD
• notes: SCSB

5. Advanced Topics

• EW SSB and Higgs physics
• 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
• hw02 grade
• hw03 grade
• hw04 grade
• hw05 grade