In SU(3) gauge theory with Nf = 4, 8, and 12 flavors, the normalized eta-prime mass sqrt(8t0) M_eta' takes values near 2.5, 5.0, and 7.5, consistent with n_f^2 scaling in the anti-Veneziano limit.
Preliminary lattice study of $\sigma$ meson decay width
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We report an exploratory lattice investigation of $\sigma$ meson decay width using s-wave scattering phase for isospin I=0 pion-pion ($\pi\pi$) system. Rummukainen-Gottlieb formula is used to estimate the scattering phase, which demonstrate the presence of a resonance around $\sigma$ meson. Using the effective range formula we extract the effective $\sigma \to \pi\pi$ coupling constant as $g_{\sigma \pi\pi} = 2.69(44)$ GeV, which is consistent with theoretical predictions. The estimated decay width is about $236 \pm 49$ MeV. These simulations are carried out on a $16^3\times48$ MILC gauge configuration with the $N_f=2+1$ flavor of the "Asqtad" improved staggered dynamical sea quarks at $ m_\pi / m_\sigma \approx 0.414$ and the lattice spacing $a \approx 0.15$ fm.
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A novel view of the flavor-singlet spectrum from multi-flavor QCD on the lattice
In SU(3) gauge theory with Nf = 4, 8, and 12 flavors, the normalized eta-prime mass sqrt(8t0) M_eta' takes values near 2.5, 5.0, and 7.5, consistent with n_f^2 scaling in the anti-Veneziano limit.