Fermi arcs and hidden zeros of the Green function in the pseudogap state

We investigate the low-energy properties of a correlated metal in the proximity of a Mott insulator within the Hubbard model in two dimensions. We introduce a version of the cellular dynamical mean-field theory using cumulants as the basic irreducible objects. The cumulants are used for reconstructing the lattice quantities from their cluster counterparts. The zero-temperature one-particle Green function is characterized by the appearance of lines of zeros, in addition to a Fermi surface which changes topology as a function of doping. We show that these features are intimately connected to the opening of a pseudogap in the one-particle spectrum and provide a simple picture for the appearance of Fermi arcs.