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Euclidean versus Minkowski short distance

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arxiv 1806.00808 v2 pith:ZHCA5K4Z submitted 2018-06-03 hep-lat

classification hep-lat
keywords distributioneuclideanfunctionslatticepartonpossibilitycalculationcase
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abstract

In this note we reexamine the possibility of extracting parton distribution functions from lattice simulations. We discuss the case of quasi-parton distribution functions, the possibility of using the reduced Ioffe-time distributions and the more recent proposal of directly making reference to the computation of the current-current $T$-product. We show that in all cases the process of renormalization hindered by lattice momenta limitation represents an obstruction to a direct Euclidean calculation of the parton distribution function.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Parton Distribution Functions from Ioffe time pseudo-distributions

    hep-lat 2019-08 conditional novelty 6.0 of 10

    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.

  2. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

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