Extraction of parton distributions from lattice QCD

Abstract

We review the calculation of moments of both the polarized and unpolarized parton distribution functions of the nucleon in lattice QCD, and in particular their extrapolation to the physical region. We also discuss the reconstruction of the x dependence of the valence quark distributions in the nucleon from a finite number of lattice moments.

arXiv comment17 pages, 7 figures, mini-review prepared for Mod. Phys. Lett. A

References in corpus (20)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Multi-spin string solutions in AdS_5 x S^5
• Spinning strings in AdS_5 x S^5 and integrable systems
• Aspects of Semiclassical Strings in AdS${}_5$
• Gauge/string duality for QCD conformal operators
• Operators with large R charge in N=4 Yang-Mills theory
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Structure of the conservation laws in integrable spin chains with short range interactions
• BMN Gauge Theory as a Quantum Mechanical System
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background
• On the Spectrum of PP-Wave Matrix Theory
• BMN operators and string field theory
• Symmetries of Large N Matrix Models for Closed Strings
• Duality, Monodromy and Integrability of Two Dimensional String Effective Action
• Poisson Algebra of Wilson Loops and Derivations of Free Algebras
• A Review of Symmetry Algebras of Quantum Matrix Models in the Large-N Limit
• Poisson Brackets of Normal-Ordered Wilson Loops

Cited by in corpus (19)

• Bethe Ansatz for Quantum Strings
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Deformations of N=4 SYM and integrable spin chain models
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• One-Loop QCD Spin Chain and its Spectrum
• Yangian Symmetries of Matrix Models and Spin Chains: The Dilatation Operator of $\mathcal{N}$$=4$ SYM
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• Yangians, S-matrices and AdS/CFT
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• On matrix models for anomalous dimensions of super Yang-Mills theory
• Matrix Models
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• BPS Condensates, Matrix Models and Emergent String Theory
• Statistical mechanics for dilatations in N=4 super Yang--Mills theory
• Random walks in N = 4 Super Yang-Mills
• Mass-Gaps and Spin Chains for (Super) Membranes
• Large-N Limit as a Classical Limit: Baryon in Two-Dimensional QCD and Multi-Matrix Models