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Note on lattice regularization and equal-time correlators for parton distribution functions
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We show that a recent interesting idea to circumvent the difficulties with the continuation of parton distribution functions to the Euclidean region, that consists in looking at equal time correlators between proton states of infinite momentum, encounters some problems related to the power divergent mixing pattern of DIS operators, when implemented within the lattice regularization.
Forward citations
Cited by 3 Pith papers
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Parton Distribution Functions from Ioffe time pseudo-distributions
A dynamical lattice QCD calculation using Ioffe-time pseudo-distributions produces an isovector nucleon valence PDF and first two moments at M_pi ~ 400 MeV, with estimates of lattice-spacing and finite-volume systematics.
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Towards nucleon structure function moments and parton momentum fractions from lattice QCD
Using the Feynman-Hellmann approach in lattice QCD, the authors estimate the nucleon's isovector parton momentum fraction <x>_{u-d}=0.141(8) at mu^2=4 GeV^2 and the physical F2 moment 0.177(22) at Q^2 ~ 5 GeV^2, consi...
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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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