Abstract
We review simulations of lattice of QCD with chiral invariant overlap fermions and chirally improved maximally twisted mass fermions. We discuss simulations with twisted mass fermions for Nf=2 flavours of mass degenerate quarks and for the situation of Nf=2+1+1 flavours, where the strange and the charm quarks are taken into account as active degrees of freedom. Results are presented for a number of physical quantities among which are the muon anomalous magnetic moment, pseudo scalar masses and decay constants, quark masses, the pion scattering length and the ρ-meson resonance. In addition, we discuss aspects of the simulations themselves and the non-perturbative renormalization that has been performed. Finally, first result are given for simulations directly at the physical value of the pion mass.
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