Generalized Parton Distributions from Lattice QCD

TL;DR

A quenched lattice calculation of the first moment of twist-two generalized parton distribution functions of the proton, and the total quark (spin and orbital angular momentum) contribution to the spin of the Proton is calculated.

Abstract

We perform a quenched lattice calculation of the first moment of twist-two generalized parton distribution functions of the proton, and assess the total quark (spin and orbital angular momentum) contribution to the spin of the proton.

Figures (4)

• Figure 1: The generalized form factors $A_2^u$, $B_2^u$ and $C_2^u$ at $\kappa=0.1333$, together with the dipole fit and the extrapolated values at $\Delta^2=0$ ($\Box$).
• Figure 2: The generalized form factors $A_2^d$, $B_2^d$ and $C_2^d$ at $\kappa=0.1333$, together with the dipole fit and the extrapolated values at $\Delta^2=0$ ($\Box$).
• Figure 3: The dipole mass $M$ as a function of $m_\pi$, together with a linear extrapolation to the physical pion mass ($\Box$).
• Figure 4: The total angular momentum $J$, together with a quadratic extrapolation to the physical pion mass ($\Box$).