Moments of Ioffe time parton distribution functions from non-local matrix elements

A bstract We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matc...

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Bibliographic Details
Published in:The journal of high energy physics 2018-11, Vol.2018 (11), p.1-13, Article 178
Main Authors: Karpie, Joseph, Orginos, Kostas, Zafeiropoulos, Savvas
Format: Article
Language:English
Subjects:
Approximation
Classical and Quantum Gravitation
Distribution functions
Elementary Particles
High energy physics
Lattice QCD
Lattice Quantum Field Theory
Mathematical analysis
Numerical analysis
Operators (mathematics)
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Quenching
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the M S ¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2018)178