Improved bilinears in lattice QCD with nondegenerate quarks

Bhattacharya, Tanmoy; Gupta, Rajan; Lee, Weonjong; Sharpe, Stephen R.; Wu, Jackson M. S.

doi:10.1103/physrevd.73.034504

Cited by 103 publications

(182 citation statements)

References 38 publications

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“…Finally we compare these results with those obtained in [12], to see whether we can match the 4 improvement terms found in Eq. (17) to the 4 terms introduced there, namely…”

Section: Oðaþ Improvement Of Quark Massesmentioning

confidence: 81%

Flavor blindness and patterns of flavor symmetry breaking in lattice simulations of up, down, and strange quarks

et al. 2011

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QCD lattice simulations with 2+1 flavours (when two quark flavours are mass degenerate) typically start at rather large up-down and strange quark masses and extrapolate first the strange quark mass and then the up-down quark mass to its respective physical value. Here we discuss an alternative method of tuning the quark masses, in which the singlet quark mass is kept fixed. Using group theory the possible quark mass polynomials for a Taylor expansion about the flavour symmetric line are found, first for the general 1 + 1 + 1 flavour case and then for the 2 + 1 flavour case. This ensures that the kaon always has mass less than the physical kaon mass. This method of tuning quark masses then enables highly constrained polynomial fits to be used in the extrapolation of hadron masses to their physical values. Numerical results for the 2 + 1 flavour case confirm the usefulness of this expansion and an extrapolation to the physical pion mass gives hadron mass values to within a few percent of their experimental values. Singlet quantities remain constant which allows the lattice spacing to be determined from hadron masses (without necessarily being at the physical point). Furthermore an extension of this programme to include partially quenched results is given.

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“…Finally we compare these results with those obtained in [12], to see whether we can match the 4 improvement terms found in Eq. (17) to the 4 terms introduced there, namely…”

Section: Oðaþ Improvement Of Quark Massesmentioning

confidence: 81%

Flavor blindness and patterns of flavor symmetry breaking in lattice simulations of up, down, and strange quarks

et al. 2011

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“…with properly adjusted coefficientsb X andb X [17,33] (the figures quoted in tables 9 and 10 include the contribution of the operator improvement term proportional to c A but not the 1 + O(am) renormalization factors).…”

Section: Jhep02(2007)082mentioning

confidence: 99%

QCD with light Wilson quarks on fine lattices (II): DD-HMC simulations and data analysis

Debbio¹,

Giusti²,

Lüscher³

et al. 2007

J. High Energy Phys.

138

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In this second report on our recent numerical simulations of two-flavour QCD, we provide further technical details on the simulations and describe the methods we used to extract the meson masses and decay constants from the generated ensembles of gauge fields. Among the topics covered are the choice of the DD-HMC parameters, the issue of stability, autocorrelations and the statistical error analysis. Extensive data tables are included as well as a short discussion of the quark-mass dependence in partially quenched QCD, supplementing the physics analysis that was presented in the first paper in this series.

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“…In addition to such " " improvement terms that persist in the massless limit, in the massive case additional and¯coefficients are encountered for a current , for definitions, see, e.g., Ref. [11]. Existing results as of 2006 are reviewed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative determination of improvement coefficients using coordinate space correlators in Nf=2+1 lattice QCD

Korcyl¹,

Bali²

2016

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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We determine quark mass dependent order improvement terms of the form for nonsinglet scalar, pseudoscalar, vector and axialvector currents using correlators in coordinate space on a set of CLS ensembles. These have been generated employing non-perturbatively improved Wilson Fermions and the tree-level Lüscher-Weisz gauge action at = 3.4, 3.46, 3.55 and 3.7, corresponding to lattice spacings ranging from ≈ 0.085 fm down to 0.05 fm. In the = 2 + 1 flavour theory two types of improvement coefficients exist:, proportional to non-singlet quark mass combinations, and¯(or˜), proportional to the trace of the quark mass matrix. Combining our non-perturbative determinations with perturbative results, we quote Padé approximants parameterizing the improvement coefficients within the above window of lattice spacings. We also give preliminary results for˜at = 3.4.

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Improved bilinears in lattice QCD with nondegenerate quarks

Cited by 103 publications

References 38 publications

Flavor blindness and patterns of flavor symmetry breaking in lattice simulations of up, down, and strange quarks

Flavor blindness and patterns of flavor symmetry breaking in lattice simulations of up, down, and strange quarks

QCD with light Wilson quarks on fine lattices (II): DD-HMC simulations and data analysis

Non-perturbative determination of improvement coefficients using coordinate space correlators in Nf=2+1 lattice QCD

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