Tod

Hasenfratz, Hans-Peter; Dietrich, Walter; Vollenweider, Samuel; Stemberger, Günter; Fitschen, Klaus; Stock, Eberhard; Thomas, Julian; Schibilsky, Michael; Scherer, Georg; Hoffmann, Konrad

doi:10.1515/9783110890945-099

Cited by 6 publications

(5 citation statements)

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“…Recently, Hasenfratz and Hoffmann [22] have posted a paper that discusses staggered fermions in the context of the Schwinger model. They present numerical evidence that the staggered determinant (on both unrooted and rooted ensembles) can be made approximately equal to an overlap determinant by adjusting the overlap mass appropriately, up to a local effective action.…”

Section: Note Addedmentioning

confidence: 99%

Observations on staggered fermions at nonzero lattice spacing

2006

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We show that the use of the fourth-root trick in lattice QCD with staggered fermions corresponds to a non-local theory at non-zero lattice spacing, but argue that the non-local behavior is likely to go away in the continuum limit. We give examples of this non-local behavior in the free theory, and for the case of a fixed topologically non-trivial background gauge field. In both special cases, the non-local behavior indeed disappears in the continuum limit. Our results invalidate a recent claim that at nonzero lattice spacing an additive mass renormalization is needed because of taste-symmetry breaking.1 One reason is that breaking the taste degeneracy requires additional hopping terms in the lattice action, which, for a generic choice, make the fermion determinant complex. Also, the existence of a partially-conserved continuous chiral symmetry depends on the choice of mass term.2 In the isospin limit, the up-down sector is represented by a square root of a staggered determinant with the common light quark mass.

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Section: Note Addedmentioning

confidence: 99%

Observations on staggered fermions at nonzero lattice spacing

2006

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“…We have chosen to use the "particle physics" definition of the scattering length, as opposed to the "nuclear physics" definition, which is opposite in sign 3. For recent discussions of the "legality" of the mixed-action and rooting procedures, see Ref [20,21,22,23,24,25,26]…”

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confidence: 99%

πKscattering in full QCD with domain-wall valence quarks

et al. 2006

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We calculate the K scattering length in fully-dynamical lattice QCD with domain-wall valence quarks on MILC lattices with rooted staggered sea-quarks at a lattice spacing of b 0:125 fm, lattice spatial size of L 2:5 fm and at pion masses of m 290, 350, 490 and 600 MeV. The lattice data, analyzed at next-to-leading order in chiral perturbation theory, allows an extraction of the full K scattering amplitude at threshold. Extrapolating to the physical point gives m a 3=2 ÿ0:0574 0:0016 0:0024 ÿ0:0058 and m a 1=2 0:1725 0:0017 0:0023 ÿ0:0156 for the I 3=2 and I 1=2 scattering lengths, respectively, where the first error is statistical and the second error is an estimate of the systematic due to truncation of the chiral expansion.

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“…. For the most recent discussions regarding the continuum limit of staggered fermions with the fourth-root trick, see Ref [64,65,66,67,68,69,70,71]…”

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Precise determination of theI=2ππscattering length from mixed-action lattice QCD

et al. 2008

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The I = 2 ππ scattering length is calculated in fully-dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two-and three-flavor mixed-action chiral perturbation theory at next-to-leading order is used to perform the chiral and continuum extrapolations. At the physical charged pion mass, we find m π a I=2 ππ = −0.04330 ± 0.00042, where the error bar combines the statistical and systematic uncertainties in quadrature.

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Tod

Cited by 6 publications

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Observations on staggered fermions at nonzero lattice spacing

Observations on staggered fermions at nonzero lattice spacing

πKscattering in full QCD with domain-wall valence quarks

Precise determination of theI=2ππscattering length from mixed-action lattice QCD

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