This course will provide you with a deeper understanding of field theory, universality and the renormalization group. Applications range from the large-scale structure in the universe over magnets to your coffee cup. Basic knowledge of field theory is required. We start with a review of the basics, including φ

- Large orders in perturbation theory, instantons, Padé and Borel resummation
- Operator product expansion ; polymers and their mapping to φ4-theory
- Stochastic field theory
- Disordered elastic systems : metastability, non-analyticity of the effective action
- Functional RG and non-perturbative RG
- Avalanches and their resummation via instantons
- Reaction-diffusion systems. Sandpiles, and their relation to disordered elastic systems.

- Lecture Notes. The lecture notes are provided for students of the class only. Please do not circulate. The notes contain additional material note covered in the class. Please send me any misprints you find. The part on disordered systems is with some corrections and many additional details covered in my recent review.
- Movies: contact-line depinning, crack-front propagation.
- Exercises: 1+2, 3, 4, 5, 6, 7, 8.
- Mathematica Notebooks: Padé-Borel resummation, Random-Bond fixed point with Mathematica introduction

- Lectures: Kay Wiese
- Exercise Group: Camille Aaron