Pion-full Effective Field Theory in Nuclear Physics with Quantum Monte Carlo Methods

The standard treatment of non-relativistic nuclear physics usually assumes nucleons as the only dynamical degrees of freedom. In this work we started from the LO chiral effective Lagrangian and derived the corresponding Hamiltonian, that we solve in the Schroedinger picture, thereby including pions as explicit degrees of freedom, by using Quantum Monte Carlo techniques. Results will be presented for the one nucleon case, in particular for as concerns the study of the effective mass as a function of the cutoff in momentum space and the determination of the pion cloud, and for the two fixed nucleon case, for which we verified the correspondence of the long range interaction to the standard OPE potential. Some preliminary results on the three and four nucleon cases will be shown, focusing in particular on the renormalizability properties of the theory.