Structure Functions, Form Factors, and Lattice QCD
Walter Wilcox, B. Andersen-Pugh
TL;DR
This paper reports on lattice QCD calculations of the pion's electric form factor and structure function, demonstrating a method to extract the longitudinal four-point function with manageable errors at low momentum.
Contribution
It introduces a technique to compute the pion structure function and form factor on a lattice by sacrificing Fourier transform information in two directions.
Findings
Successful extraction of the longitudinal four-point function at low momentum.
Feasibility of calculating pion structure functions using charge overlap on a lattice.
Error bars are reasonable for the extracted quantities.
Abstract
We present results towards the calculation of the pion electric form factor and structure function on a lattice using charge overlap. By sacrificing Fourier transform information in two directions, it is seen that the longitudinal four point function can be extracted with reasonable error bars at low momentum.
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