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

TL;DR

This paper introduces a novel stochastic real space renormalization-group method for supersymmetric  theories using ultrametric spaces, providing new insights into parameter flows and potential extensions.

Contribution

It presents a new stochastic renormalization approach for SUSY  using ultrametric spaces, with a novel interpretation of parameters and applicability to  and  theories.

Findings

New stochastic RG map for SUSY  developed

Parameters in the flow gain a stochastic interpretation

Method can be extended to  and  theories

Abstract

We present a new real space renormalization-group map, on the space of probabilities, to study the renormalization of the SUSY \phi^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 \phi^n. New stochastic meaning is given to the parameters involved in the flow of the map and results are provided.