New stochastic approach to the renormalization of the supersymmetric ϕ^4 with ultrametric

Abstract

We present a new real space renormalization-group map, on the space of probabilities, to study the renormalization of the SUSY ϕ^4. In our approach we use the random walk representation on a lattice labeled by an ultrametric space. Our method can be extended to any ϕ^n. New stochastic meaning is given to the parameters involved in the flow of the map and results are provided.

17 pages, Latex 2e, to appear in Int. Jour. of Mod. Phys. A