eta' meson From Two Flavor Dynamical Domain Wall Fermions

Details eta' meson From Two Flavor Dynamical Domain Wall Fermions eta' meson From Two Flavor Dynamical Domain Wall Fermions

2008-03-03

arxiv.org/abs/0803.0186v2

Prog.Theor.Phys.119:599-641,2008

Physics

High Energy Physics

High Energy Physics - Lattice

51 pages, 30 figures, uses ptptex.cls, published version

Scientific paper

10.1143/PTP.119.599

We explore flavor singlet pseudoscalar meson, eta', spectrum in two-flavor (Nf=2) lattice QCD. The continuum-like relation between the topology of the QCD vacuum and the U(1)_A anomaly, that prevents eta' meson from being a would-be Nambu-Goldstone boson, are expected to hold in the domain wall fermions (DWF) used as a lattice quark field in this work. Although our simulation is limited to relatively heavy quark masses and statistical error is not magnificently small despite of improvements in measurements and fit procedures for meson propagators, we obtained m_eta'=819(127) MeV for Nf=2 QCD, where the error is statistical only. Potentially serious systematic error in the number are discussed. Results for other meson are also reported.

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