Parton distribution functions on the lattice and in the continuum

Abstract

Ioffe-time distributions, which are functions of the Ioffe-time $\nu$, are the Fourier transforms of parton distribution functions with respect to the momentum fraction variable $x$. These distributions can be obtained from suitable equal time, quark bilinear hadronic matrix elements which can be calculated from first principles in lattice QCD, as it has been recently argued. In this talk I present the first numerical calculation of the Ioffe-time distributions of the nucleon in the quenched approximation.

8 pages, 10 figures. arXiv admin note: text overlap with arXiv:1706.05373

References in corpus (4)

• A complete non-perturbative renormalization prescription for quasi-PDFs
• Nonperturbative Evolution of Parton Quasi-Distributions
• More On Large-Momentum Effective Theory Approach to Parton Physics
• QCD Factorization and PDFs from Lattice QCD Calculation

Cited by in corpus (30)

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• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
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• Gluon Parton Distribution of the Pion from Lattice QCD
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• On the power divergence in quasi gluon distribution function
• Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
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• Probing nucleon strange and charm distributions with lattice QCD
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• Quark fragmentation as a probe of dynamical mass generation
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Pion valence quark PDF from lattice QCD
• Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD