Topological susceptibility and chiral condensate with $N_f=2+1+1$ dynamical flavors of maximally twisted mass fermions.

Abstract

We study the ‘spectral projector’ method for the computation of the chiral condensate and the topological susceptibility, using Nf = 2 + 1 + 1 dynamical flavors of maximally twisted mass Wilson fermions. In particular, we perform a study of the quark mass dependence of the chiral condensate Σ and topological susceptibility χtop in the range 270 MeV < mπ < 500 MeV and compare our data with analytical predictions. In addition, we compute χtop in the quenched approximation where we match the lattice spacing to the Nf = 2 + 1 + 1 dynamical simulations. Using the Kaon, η and η0 meson masses computed on the Nf = 2 + 1 + 1 ensembles, we then perform a preliminary test of the Witten-Veneziano relation.