This lecture provides an introduction to the framework of low energy
effective field theories. After developing the basic concepts, the
method is used to analyze the electromagnetic, weak and strong
interactions at low energies. The course is intended for graduate
students and master students, who have taken a first course in quantum
field theory.

There is an ILIAS page for discussions and further information.

This lecture was first given in the spring semester 2010, and was offered again in 2015 with a somewhat different selection of topics. The lecture notes are linked below.

- Introduction (and some introductionary slides)
- The Wilsonian effective action
- Integrating out high-energy modes
- Classification of operators
- Renormalization group

- Continuum effective theory
- The Standard Model at low energies
- Euler Heisenberg Theory
- Decoupling of heavy flavors
- Decoupling in QED (Figures: anomalous magnetic moment)
- Heavy flavors in QCD (Figures: running coupling)

- Effective weak Hamiltonian (Fermi Theory)
- The Standard Model as an EFT (slides with operators)
- Chiral Perturbation Theory

- Non-relativistic theories
- Energetic particles and jet physics
- Asymptotic expansions and the method of regions
- Soft-Collinear Effective Theory

Appendices

- Loop integrals in dimensional regularization
- Feynman rules for derivative couplings
- QCD Lagrangian and Feynman rules
- Goldstone's theorem

Thomas Becher