The quest for non commutative field theory
Seminar Room 1, Newton Institute
We shall review the ongoing effort to generalize ordinary quantum field theory to non commutative spaces. Scale analysis and renormalization theory lie at the heart of quantum field theory, Even in the simplest Moyal geometry, these concepts require unexpected reworking. Nevertheless we shall argue that they remain essential guidelines both for physics beyond the standard model scale and for condensed matter applications such as a more fundamental theory of the quantum Hall effect.