I will review a recent proposal for factorizing the fermion determinant in lattice QCD that leads to a local bosonic action in the block fields. Once combined with the factorization of the propagator, it paves the way for multilevel Monte Carlo integration in the presence of fermions opening new perspectives in lattice QCD.

Many-body quantum systems are very hard to describe and simulate in general, since the dimension of the state space grows exponentially with the number of particles, volume, etc. Cold atomic systems may help us in that task, as one can in principle engineer the interactions among the atoms to emulate many-body quantum problems. So far, this possibility has been mainly addressed in the context of ... More