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@ARTICLE{Horsley:201119,
      author       = {Horsley, R. and Nakamura, Y. and Nobile, A. and Rakow, P.
                      E. L. and Schierholz, G. and Zanotti, J. M.},
      title        = {{N}ucleon axial charge and pion decay constant from
                      two-flavor lattice {QCD}},
      journal      = {Physics letters / B},
      volume       = {732},
      issn         = {0370-2693},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ.},
      reportid     = {FZJ-2015-03424},
      pages        = {41 - 48},
      year         = {2014},
      abstract     = {The axial charge of the nucleon gAgA and the pion decay
                      constant fπfπ are computed in two-flavor lattice QCD. The
                      simulations are carried out on lattices of various volumes
                      and lattice spacings. Results are reported for pion masses
                      as low as mπ=130 MeVmπ=130 MeV. Both quantities, gAgA and
                      fπfπ, suffer from large finite size effects, which to
                      leading order ChEFT and ChPT turn out to be identical. By
                      considering the naturally renormalized ratio gA/fπgA/fπ,
                      we observe a universal behavior as a function of decreasing
                      quark mass. From extrapolating the ratio to the physical
                      point, we find View the MathML sourcegAR=1.29(5)(3), using
                      the physical value of fπfπ as input and
                      r0=0.50(1)r0=0.50(1) to set the scale. In a subsequent
                      calculation we attempt to extrapolate gAgA and fπfπ
                      separately to the infinite volume. Both volume and quark
                      mass dependencies of gAgA and fπfπ are found to be well
                      described by ChEFT and ChPT. We find at the physical point
                      View the MathML sourcegAR=1.24(4) and View the MathML
                      sourcefπR=89.6(1.1)(1.8) MeV. Both sets of results are in
                      good agreement with experiment. As a by-product we obtain
                      the low-energy constant View the MathML sourcel¯4=4.2(1).},
      cin          = {JSC / IAS-1},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406 / I:(DE-Juel1)IAS-1-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411)},
      pid          = {G:(DE-HGF)POF2-411},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000335307900006},
      doi          = {10.1016/j.physletb.2014.03.002},
      url          = {https://juser.fz-juelich.de/record/201119},
}