### Abstract

I will explain how to construct noncommutative euclidean perturbative vectorial quantum field theories. I will stress on the renormalisation process and treat as a guiding example the case of Heisenberg modules over noncommutative tori.

## An Isaac Newton Institute Workshop## Noncommutative Geometry and Physics: Fundamental Structure of Space and Time## Quantum field theory on projective modules
## AbstractI will explain how to construct noncommutative euclidean perturbative vectorial quantum field theories. I will stress on the renormalisation process and treat as a guiding example the case of Heisenberg modules over noncommutative tori. |