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.

arXiv comment32 pages, 17 figures

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• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Light Hadron Masses from Lattice QCD
• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice
• Field Correlator Method for the confinement in QCD
• Instantons and Monopoles
• Non-perturbative renormalization of bilinear operators with dynamical overlap fermions
• Extracting hadron masses from fixed topology simulations
• Dynamical overlap fermion at fixed topology
• Topological Structure of the QCD Vacuum Revealed by Overlap Fermions
• Two-loop renormalization of fermion bilinear operators on the lattice
• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields