Master Class "Selected Topics in Statistical Field Theory"
About the Course
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 φ4-theory, Gaussian integrals, and the path integral.
While most applications are chosen for simplicity from statistical mechanics, the methods are general, and useful in high-energy physics, condensed matter, and soft matter.
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.
Lectures: Kay Wiese
Exercise Group: Camille Aaron
Copyright (C) by Kay Wiese. Last edited March 25, 2020.