Motivated by perturbative computations of Feynman integrals, Kontsevich has conjectured that a certain group known as the Grothendieck-Teichmuller group acts on the moduli space of Field theories. Moreover he has explicitly described this action in certain examples. We first describe a stable context for this question, which can be interpreted as inverting free Bosonic field theories. We then show that a quotient of the GT group acts on the stable object in agreement with computations made by Kontsevich. We will try to make this talk as self contained as possible.