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 $N_f=2+1+1$ 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 $χ_{top}$ in the range $270 MeV < m_π < 500 MeV$ and compare our data with analytical predictions. In addition, we compute $χ_{top}$ in the quenched approximation where we match the lattice spacing to the $N_f=2+1+1$ dynamical simulations. Using the Kaon, $η$ and $η^{\prime}$ meson masses computed on the $N_f=2+1+1$ ensembles, we then perform a preliminary test of the Witten-Veneziano relation.

7 pages, 6 figures. Talk given at the XXIX International Symposium on Lattice Field Theory - Lattice 2011, Lake Tahoe, California, USA