eta' meson From Two Flavor Dynamical Domain Wall Fermions

Abstract

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.

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

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Cited by in corpus (23)

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• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• The eta' meson from lattice QCD
• Flavor-singlet meson decay constants from $N_f=2+1+1$ twisted mass lattice QCD
• Isoscalar mesons upon unbreaking of chiral symmetry
• Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons
• Decay constants of the pion and its excitations in holographic QCD
• Physics of eta-prime with rooted staggered quarks
• The Myriad Uses of Instantons
• Topological susceptibility and ${\eta }^{\prime }$ meson mass from $N_f=2$ lattice QCD at the physical point
• Decay constants of the pion and its excitations on the lattice
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• The omega-rho meson mass splitting and mixing from lattice QCD
• Purely leptonic decays of the ground charged vector mesons
• Anatomy of the $\rho$ resonance from lattice QCD at the physical point
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• Simulations of light scalar mesons on the lattice and related difficulties
• Multi-hadron operators with all-to-all quark propagators
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• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields