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Quasi parton distributions and the gradient flow

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arxiv 1612.01584 v4 pith:W43DIYC6 submitted 2016-12-05 hep-lat hep-ph

Christopher Monahan , Kostas Orginos This is my paper · ORCID
classification hep-lathep-ph
keywords quasipdfsflowlatticelight-frontgradientlimitparton
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a new approach to determining quasi parton distribution functions (PDFs) from lattice quantum chromodynamics. By incorporating the gradient flow, this method guarantees that the lattice quasi PDFs are finite in the continuum limit and evades the thorny, and as yet unresolved, issue of the renormalization of quasi PDFs on the lattice. In the limit that the flow time is much smaller than the length scale set by the nucleon momentum, the moments of the smeared quasi PDF are proportional to those of the light-front PDF. We use this relation to derive evolution equations for the matching kernel that relates the smeared quasi PDF and the light-front PDF. As part of this discussion, we elucidate the relationship between the quasi and light-front PDFs.

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Cited by 3 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. Lattice gradient flows (de-)stabilizing topological sectors

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.

  3. Parton distribution functions from lattice QCD

    hep-lat 2026-07 unverdicted

    A review of lattice-QCD approaches to parton distribution functions concludes that the field is moving from feasibility studies to quantitatively controlled calculations.

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