Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices

Abstract

We present results from a simulation of quenched overlap fermions with Lüscher-Weisz gauge field action on lattices up to $24^{3}48$ and for pion masses down to $\approx 250$ MeV. Among the quantities we study are the pion, rho and nucleon masses, the light and strange quark masses, and the pion decay constant. The renormalization of the scalar and axial vector currents is done nonperturbatively in the $RI-MOM$ scheme. The simulations are performed at two different lattice spacings, $a\approx 0.1$ fm and $\approx 0.15$ fm, and on two different physical volumes, to test the scaling properties of our action and to study finite volume effects. We compare our results with the predictions of chiral perturbation theory and compute several of its low-energy constants. The pion mass is computed in sectors of fixed topology as well.

32 pages, 17 figures

Cited by in corpus (4)

• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Dynamical overlap fermion at fixed topology
• Two-loop renormalization of fermion bilinear operators on the lattice