Euclidean versus Minkowski short distance

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 in corpus (26)

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• Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
• Pion generalized parton distribution from lattice QCD
• Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• Lattice QCD and Neutrino-Nucleus Scattering
• Structure of parton quasi-distributions and their moments
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Lattice Renormalization of Quantum Simulations
• Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
• Master Integrals for two-loop QCD corrections to Quasi PDFs
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Renormalon Effects in Quasi Parton Distributions
• Chiral Perturbation for Large Momentum Effective Field Theory
• Mapping Parton Distributions of Hadrons with Lattice QCD
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme