Course content

The course is given next time autumn 2025.

Phase transitions. Properties near critical points. Multicomponent Landau theory. Universality classes. Overview of simple models. Scaling. Correlation functions. Renormalization theory: Direct space and k-space renormalization. The Kosterlitz-Thouless phase transition. Brief introduction to gauge theories.

Learning outcome

The student is expected to obtain considerable insight into various types of phase transitions, and how these can be described theoretically in different ways, e.g., using renormalization group theory. The course is well suited for PhD-students who want an introduction to advanced statistical physics.

Learning methods and activities

Lectures. Voluntary calculation exercises. When lectures and lecture material are in English, the exam is normally given in English only.

Specific conditions

Recommended previous knowledge

The student is expected to have completed introductory courses in thermodynamics and statistical mechanics. The course is technically demanding, requiring good mathematical skills. Exercises form an essential part of the course work.

Course materials

Will be decided at the start of the course.

Credit reductions