I intend to give an introduction to Euclidean quantum field theory from the point of view of statistical physics, with emphasis both on Feynman graphs and on the Wilson-Polchinski approach of renormalization. In the second part I will discuss attempts to renormalize quantum field theories on non-commutative spaces.
Notations.
Classical action functionals.
Partition function.
Perturvative solution.
Calculations.
Exact renormalization group equations.
Non-commutative geometries.
Renormalization group approach to non-commutative scalar models.
Updated 04/03/2005