2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123679The first renormalisable quantum field theories on non-commutative space have been found recently. We review this rapidly growing subject.41 pages, 17 figures. This review follows lectures given by Vincent Rivasseau at the workshop "Renormalisation et theories de Galois", Luminy, March 2006High Energy Physics - TheoryMathematical Physicstext