Quasi parton distributions and the gradient flow

Monahan, Christopher; Orginos, Kostas

doi:10.1007/JHEP03(2017)116

Title: Quasi parton distributions and the gradient flow

Journal Article · Wed Mar 22 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2017)116· OSTI ID:1350963

Monahan, Christopher ^[1]; Orginos, Kostas ^[2]

Rutgers, the State Univ. of New Jersey, Piscataway, NJ (United States)
College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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 lightfront PDF. Finally, we use this relation to derive evolution equations for the matching kernel that relates the smeared quasi PDF and the light-front PDF.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1350963

Report Number(s):: JLAB-THY-16-2402; DOE/OR/23177-4026; arXiv:1612.01584; PII: 5728; TRN: US1700589

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 60 works

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