Stochastic method with low mode substitution for nucleon isovector matrix elements

Yang, Yi-Bo; Alexandru, Andrei; Draper, Terrence; Gong, Ming; Liu, Keh-Fei

doi:10.1103/physrevd.93.034503

Cited by 44 publications

(69 citation statements)

References 75 publications

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“…Nonperturbative renormalization is carried out and the final results are all reported in the MS scheme at 2 GeV. We determine the total quark spin contribution to the nucleon spin to be ∆Σ = 0.405 (25) (37), which is consistent with the recent global fitting result of experimental data. The isovector axial coupling we obtain in this study is g 3 A = 1.254 (16) (30), which agrees well with the experimental value of 1.2723 (23).…”

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confidence: 77%

Quark spins and anomalous Ward identity

et al. 2018

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We calculate the intrinsic quark spin contribution to the total proton spin using overlap valence quarks on three ensembles of 2 + 1-flavor RBC/UKQCD domain-wall configurations with different lattice spacings. The lowest pion mass of the ensembles is around 171 MeV which is close to the physical point. With overlap fermions and topological charge derived from the overlap operator, we verify the anomalous Ward identity between nucleon states with momentum transfer. Both the connected and disconnected insertions of the axial-vector arXiv:1806.08366v2 [hep-ph]

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confidence: 77%

Quark spins and anomalous Ward identity

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“…Gaussian smearing applied to all three quarks, and Γ e is the unpolarized projection operator of the nucleon. All the correlation functions from the source points x in the grid G are combined to improve the the signal-to-noise ratio (SNR) [12]. When t f is large enough, R q,g (t f , t) approaches the bare nucleon matrix element N |T q,g 44 |N .…”

Section: Numerical Setupmentioning

confidence: 99%

Proton Mass Decomposition from the QCD Energy Momentum Tensor

et al. 2018

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We report results on the proton mass decomposition and also on related quark and glue momentum fractions. The results are based on overlap valence fermions on four ensembles of N f = 2 + 1 DWF configurations with three lattice spacings and three volumes, and several pion masses including the physical pion mass. With fully non-perturbative renormalization (and universal normalization on both quark and gluon), we find that the quark energy and glue field energy contribute 33(4)(4)% and 37(5)(4)% respectively in the M S scheme at µ = 2 GeV. A quarter of the trace anomaly gives a 23 (1)(1)% contribution to the proton mass based on the sum rule, given 9(2)(1)% contribution from the u, d, and s quark scalar condensates. The u, d, s and glue momentum fractions in the M S scheme are in good agreement with global analyses at µ = 2 GeV.Introduction: In the standard model, Higgs boson provides the origin of quark masses. But how it is related to the proton mass and thus the masses of nuclei and atoms is another question. The masses of the valence quarks in the proton are just ∼3 MeV per quark which is directly related to the Higgs boson, while the total proton mass is 938 MeV. The percentage of the quark and gluon contributions to the proton mass can only be provided by solving QCD non-perturbatively, and/or with information from experiment. With phenomenological input, the first decomposition was carried out by Ji [1]. As in Refs. [1,2], the Hamiltonian of QCD can be decomposed asin the rest frame of the hadron state where M is the hadron mass, T µν is the energy momentum tensor of QCD with T 44 as its expectation value in the hadron, and the trace anomaly gives

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“…For C 1 this trick was applied already in [11]. In a different context it was used in [21], where it was dubbed the "stochastic sandwich method". Including the sign of the Wick contraction (easily obtained from the number of fermion loops) we explicitly have 2…”

Section: Simulation Detailsmentioning

confidence: 99%

Two-current correlations in the pion on the lattice

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Castagnini

et al. 2018

J. High Energ. Phys.

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We perform a systematic study of the correlation functions of two quark currents in a pion using lattice QCD. We obtain good signals for all but one of the relevant Wick contractions of quark fields. We investigate the quark mass dependence of our results and test the importance of correlations between the quark and the antiquark in the pion. Our lattice data are compared with predictions from chiral perturbation theory. arXiv:1807.03073v2 [hep-lat]

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Stochastic method with low mode substitution for nucleon isovector matrix elements

Cited by 44 publications

References 75 publications

Quark spins and anomalous Ward identity

Quark spins and anomalous Ward identity

Proton Mass Decomposition from the QCD Energy Momentum Tensor

Two-current correlations in the pion on the lattice

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