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Title: More on large-momentum effective theory approach to parton physics

Journal Article · · Nuclear Physics. B

Large-Momentum Effective Theory (or LaMET) advocated by the present authors provides a direct ap-proach to simulate parton physics in Euclidean lattice QCD theory. Recently, there has been much interest in this theory in the literature, with some questioning its validity and effectiveness. Here we provide some discussions aiming at a further exposition of this approach. In particular, we explain why it does not have the usual power divergence problem in lattice QCD calculations for the moments of parton distributions. Here the only power divergence in the LaMET approach comes from the self-energy of the Wilson lines which can be properly factorized. We show that although the Ioffe-time distribution provides an alternative way to extract the parton distribution from the same lattice observables, it also requires the same large momentum (or short distance) limit as in LaMET to obtain a precision calculation. In conclusion, with a proper quantification of errors, both extraction methods shall be compared with the same lattice data.

Research Organization:
Univ. of Maryland, College Park, MD (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-93ER-40762; SC0011090; SFB/TRR-55; 16DZ2260200; FG02-93ER40762
OSTI ID:
1437732
Alternate ID(s):
OSTI ID: 1502433
Journal Information:
Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 924 Journal Issue: C; ISSN 0550-3213
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 69 works
Citation information provided by
Web of Science

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Cited By (28)

Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to neural networks journal April 2019
On the power divergence in quasi gluon distribution function journal May 2018
Towards quasi-transverse momentum dependent PDFs computable on the lattice journal September 2019
Moments of Ioffe time parton distribution functions from non-local matrix elements journal November 2018
Parton distribution functions from Ioffe time pseudo-distributions journal December 2019
Gaussian-weighted parton quasi-distribution (Lattice Parton Physics Project (LP3)) journal April 2019
Parton distribution functions on the lattice and in the continuum journal January 2018
Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP 3 Collaboration) journal September 2019
Matching generalized parton quasidistributions in the RI/MOM scheme journal August 2019
First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function journal August 2019
Lattice finite-volume dependence of the nucleon parton distributions journal October 2019
Complete matching for quasidistribution functions in large momentum effective theory journal October 2019
Generalized parton distributions and pseudodistributions journal December 2019
Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching journal February 2020
Parton distribution function with nonperturbative renormalization from lattice QCD journal January 2018
Smeared quasidistributions in perturbation theory journal March 2018
Matching the quasiparton distribution in a momentum subtraction scheme journal March 2018
Parton distribution functions from reduced Ioffe-time distributions journal April 2018
One-loop evolution of parton pseudo-distribution functions on the lattice journal July 2018
Renormalization of Wilson-line operators in the presence of nonzero quark masses journal July 2018
Euclidean versus Minkowski short distance journal September 2018
Factorization theorem relating Euclidean and light-cone parton distributions journal September 2018
Transverse momentum dependent parton quasidistributions journal June 2019
Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations journal January 2018
Lattice QCD and neutrino-nucleus scattering journal November 2019
Unraveling high-energy hadron structures with lattice QCD journal December 2018
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results journal June 2019
Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point text January 2019

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