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

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

2006-07-19

arxiv.org/abs/hep-lat/0607024v1

Phys.Rev.D75:073015,2007

Physics

High Energy Physics

High Energy Physics - Lattice

32 pages, 17 figures

Scientific paper

10.1103/PhysRevD.75.073015

We present results from a simulation of quenched overlap fermions with L\"uscher-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.

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