Introduction to Statistical Field Theory

In many areas of physics, such as high energy physics, gravitation, and in statistical and condensed matter physics, it is necessary to understand the collective effects of a large number of degrees of freedom. Quantum field theory is the language that has been developed to describe the physics in such apparently different fields. In this course we will stress the applications to statistical physics and discuss:

• Critical phenomena, Landau theory, fluctuations and Ginzburg criterion.
• Scaling behavior, introduction to Wilson renormalization group.
• Relation with renormalization theory in perturbative quantum field theory
• Some applications in statistical physics, condensed matter and soft matter.