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Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
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Using the Euclidean path-integral formulation for the hadronic tensor, we show that the violation of the Gottfried sum rule does not come from the disconnected quark-loop insertion. Rather, it comes from the connected (quark line) insertion involving quarks propagating in the backward time direction. We demonstrate this by studying sum rules in terms of the scalar and axial- vector matrix elements in lattice gauge calculations. The effects of eliminating backward time propagation are presented.
Forward citations
Cited by 11 Pith papers
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Realization of all-to-all fermion propagator for the first principle high accuracy strong interaction prediction
A new stochastic estimator, blending distillation low modes with reweighted random high modes, gives unbiased all-to-all fermion propagators and enables sub-percent nucleon axial charge and 4-point pion form factor ca...
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Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the fourth moment of the pion distribution amplitude
The fourth Mellin moment of the pion distribution amplitude is determined in the continuum limit for the first time in quenched QCD, giving <ξ^4> = 0.039(28)(11) at μ = 2 GeV.
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Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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Mellin Moments of the Unpolarized Gluon PDF in the Proton from Nonlocal Operators in Lattice QCD
Lattice QCD extracts the ratio of the third to first Mellin moment of the gluon PDF at 2 GeV from nonlocal operators on an Nf=2+1+1 ensemble.
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Quantum simulation of real-time current correlators and DIS-inspired observables in the Schwinger model
The hadronic tensor and longitudinal structure function of the massive Schwinger model are computed from real-time current–current correlators using tensor networks and quantum circuits, benchmarked against exact diag...
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A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
One neural network simultaneously fits LaMET and short-distance-expansion lattice data to reconstruct light-cone PDFs and zero-skewness GPDs of the nucleon.
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Parton Physics on a Quantum Computer
A quantum-computer algorithm is proposed for computing parton distribution functions and hadronic tensors, with a Thirring-model demonstration and QCD resource estimates that favor extracting PDFs by fitting the hadro...
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Deeply inelastic scattering structure functions on a hybrid quantum computer
A worldline representation of the QCD quark determinant is used to write a quantum circuit that computes F2 in a small-x dipole model, with a road map for generalizing to real-time DIS.
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Kinematic enhancement for nucleon interpolators
Kinematically enhanced nucleon interpolators improve precision of renormalized quark matrix elements by an order of magnitude at 2.5 GeV with no observed lattice spacing dependence on CLS ensembles.
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Mapping Parton Distributions of Hadrons with Lattice QCD
A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.
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