On renormalizability of the quantum electrodynamics on noncommutative space

Abstract

In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutativity parameter $θ$ and in the classical fields.

Lecture given at II School in Modern Matematical Physics, Kopaonik 2002