Quasi parton distributions and the gradient flow
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 lightfront PDF.
 Authors:

^{[1]};
^{[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)
 Publication Date:
 Report Number(s):
 JLABTHY162402; DOE/OR/231774026; arXiv:1612.01584
Journal ID: ISSN 10298479; PII: 5728; TRN: US1700589
 Grant/Contract Number:
 AC0506OR23177
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 3; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Lattice Quantum Field Theory
 OSTI Identifier:
 1350963
Monahan, Christopher, and Orginos, Kostas. Quasi parton distributions and the gradient flow. United States: N. p.,
Web. doi:10.1007/JHEP03(2017)116.
Monahan, Christopher, & Orginos, Kostas. Quasi parton distributions and the gradient flow. United States. doi:10.1007/JHEP03(2017)116.
Monahan, Christopher, and Orginos, Kostas. 2017.
"Quasi parton distributions and the gradient flow". United States.
doi:10.1007/JHEP03(2017)116. https://www.osti.gov/servlets/purl/1350963.
@article{osti_1350963,
title = {Quasi parton distributions and the gradient flow},
author = {Monahan, Christopher and Orginos, Kostas},
abstractNote = {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 lightfront PDF.},
doi = {10.1007/JHEP03(2017)116},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2017,
place = {United States},
year = {2017},
month = {3}
}