# 2+1 flavor domain wall QCD on a (2 fm)^3 lattice: light meson spectroscopy with Ls = 16

C. Allton, D. J. Antonio, T. Blum, K. C. Bowler, P. A. Boyle, N. H. Christ, S. D. Cohen, M. A. Clark, C. Dawson, A. Hart, K. Hashimoto, T. Izubuchi, A. Juttner, C. Jung, A. D. Kennedy, R. D. Kenway, M. Li, S. Li, M. F. Lin, R. D. MawhinneyC. M. Maynard, J. Noaki, S. Ohta, B. J. Pendleton, S. Sasaki, E. E. Scholz, A. Soni, R. J. Tweedie, A. Yamaguchi, T. Yamazaki

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## Abstract

We present results for light meson masses and pseudoscalar decay constants from the first of a series of lattice calculations with 2+1 dynamical flavors of domain wall fermions and the Iwasaki gauge action. The work reported here was done at a fixed lattice spacing of about 0.12 fm on a 16^3\times32 lattice, which amounts to a spatial volume of (2 fm)^3 in physical units. The number of sites in the fifth dimension is 16, which gives m_{res} = 0.00308(4) in these simulations. Three values of input light sea quark masses, m_l^{sea} \approx 0.85 m_s, 0.59 m_s and 0.33 m_s were used to allow for extrapolations to the physical light quark limit, whilst the heavier sea quark mass was fixed to approximately the physical strange quark mass m_s. The exact rational hybrid Monte Carlo algorithm was used to evaluate the fractional powers of the fermion determinants in the ensemble generation. We have found that f_\pi = 127(4) MeV, f_K = 157(5) MeV and f_K/f_\pi = 1.24(2), where the errors are statistical only, which are in good agreement with the experimental values.
Original language Undefined/Unknown Physical Review D https://doi.org/10.1103/PhysRevD.76.014504 Published - 17 Jan 2007

• hep-lat