Parton Physics on a Euclidean Lattice

2013/05/07 by Xiangdong Ji · 15 citations
Physics and Astronomy · #Boosting (machine learning) #Euclidean geometry #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Light cone #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Quark–gluon plasma #Twist #hep-ex #hep-lat #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevlett.110.262002

8 pages, 1 figure

arxiv created 2013/05/07 · openalex publication_date 2013/06/26 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I show that the parton physics related to correlations of quarks and gluons on the light cone can be studied through the matrix elements of frame-dependent, equal-time correlators in the large momentum limit. This observation allows practical calculations of parton properties on a Euclidean lattice. As an example, I demonstrate how to recover the leading-twist quark distribution by boosting an equal-time correlator to a large momentum.

Citations

• Viewing the Proton through “Color” Filters
• Understanding parton distributions from lattice QCD: present limitations and future promise
• Asymptotic freedom in parton language
• Three-quark light-cone amplitudes of the proton and quark orbital-motion-dependent observables
• Parton distribution and decay functions
• Classification and asymptotic scaling of the light-cone wave-function amplitudes of hadrons
• Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions
• Twist-four distributions in a transversely polarized nucleon and the Drell-Yan process
• Lattice perturbation theory

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• Two-current correlations in the pion in the Nambu and Jona-Lasinio model
• Quantifying finite-momentum effects in the quark quasidistribution functions of mesons
• Single-particle digitization strategy for quantum computation of a ϕ4 scalar field theory
• Computation of parton distributions from the quasi-PDF approach at the physical point
• Finite continuum quasi distributions from lattice QCD
• Short-Range Correlations and the EMC Effect in Effective Field Theory
• Revealing the structure of light pseudoscalar mesons at the electron–ion collider
• The light-front gauge-invariant energy-momentum tensor
• Polarized gluon pseudodistributions at short distances
• Lattice results for the longitudinal spin structure and color forces on quarks in a nucleon
• Finite-volume effects due to spatially nonlocal operators