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Topological susceptibility and chiral condensate with \$N\_f=2+1+1\$ dynamical flavors of maximally twisted mass fermions

, , , and . (Nov 14, 2011)

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 \$\Sigma\$ and topological susceptibility \$\chi\_top\$ in the range \$270 MeV < m\_\pi < 500 MeV\$ and compare our data with analytical predictions. In addition, we compute \$\chi\_top in the quenched approximation where we match the lattice spacing to the \$N\_f=2+1+1\$ dynamical simulations. Using the Kaon, \$\eta\$ and \$\eta^\prime\$ meson masses computed on the \$N\_f=2+1+1\$ ensembles, we then perform a preliminary test of the Witten-Veneziano relation.

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