# Structure Functions on the lattice

Source: [Structure Functions on the lattice](<https://www.sota2.com/research/paper/68fa1ed67a2b558e29324f61>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T16:09:38.888Z

Authors: K. Jansen

Published: 2000-10-24T07:55:59.000Z

## Abstract

We report on a lattice computation of the second moment of the pion matrix element of the twist-2 non-singlet operator corresponding to the average momentum of parton densities. We apply a fully non-perturbatively evaluated running renormalization constant as well as a careful extrapolation of our results to the continuum limit. Thus the only limitation of our final result is the quenched approximation.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-lat/0010038>)

[PDF](<https://arxiv.org/pdf/hep-lat/0010038.pdf>)