OVERLAP FERMIONS IN THE STRONG COUPLING LIMIT

We analyze the overlap fermion formulation expanded in powers of a hopping parameter in the strong coupling limit. The mass of the quasi-Goldstone pion is obtained. A random walk representation for the overlap fermion propagator is developed, to conclude that the expanded overlap fermion formulation, however, cannot be totally solve the fermion-doubling problem.

New Stochastic Approach to the Renormalization of the Supersymmetric ϕ4 with Ultrametric

We present a new real space renormalization-group map, on the space of probabilities, to study the renormalization of the SUSY ϕ4. In our approach we use the random walk representation on a lattice labeled by an ultrametric space. Our method can be extended to any ϕn. New stochastic meaning is given to the parameters involved in the flow of the map and results are provided.