  We present the Hopf algebra of renormalization and introduce the
renormalization group equation in this framework. Some linear Schwinger--Dyson
equations are studied, and exact solutions are presented. Then we study the
Schwinger--Dyson equation of the massless Wess--Zumino model in the physical
plane and in the Borel plane. In the former the asymptotics of the solution of
the Schwinger--Dyson equation is found and its perturbations are computed. In
the later we study the singularities of the solution and their transcendental
contents. The last chapter is a presentation of the BV formalism seen as theory
of integration for the polyvector fields. The appendices contain a presentation
of the geometric approach of the BRST formalism, an alternative description of
the BV formalism that underlines the link between BRST and BV and some
computations of Feynman integrals.
