# Status of Average-x from Lattice QCD

## Abstract

As algorithms and computing power have advanced, lattice QCD has become a precision technique for many QCD observables. However, the calculation of nucleon matrix elements remains an open challenge. I summarize the status of the lattice effort by examining one observable that has come to represent this challenge, average-x: the fraction of the nucleon's momentum carried by its quark constituents. Recent results confirm a long standing tendency to overshoot the experimentally measured value. Understanding this puzzle is essential to not only the lattice calculation of nucleon properties but also the broader effort to determine hadron structure from QCD.

- Authors:

- Jefferson Lab, 12000 Jefferson Avenue, Newport News, VA 23606 (United States)

- Publication Date:

- OSTI Identifier:
- 21608349

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1369; Journal Issue: 1; Conference: 3. international workshop on nucleon structure at large Bjorken X, Newport News, VA (United States), 13-15 Oct 2010; Other Information: DOI: 10.1063/1.3631515; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGORITHMS; CHIRAL SYMMETRY; LATTICE FIELD THEORY; MATRIX ELEMENTS; NUCLEONS; PARTICLE KINEMATICS; PARTICLE STRUCTURE; QUANTUM CHROMODYNAMICS; QUARKS; REST MASS; BARYONS; CONSTRUCTIVE FIELD THEORY; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; MASS; MATHEMATICAL LOGIC; QUANTUM FIELD THEORY; SYMMETRY

### Citation Formats

```
Renner, Dru B.
```*Status of Average-x from Lattice QCD*. United States: N. p., 2011.
Web. doi:10.1063/1.3631515.

```
Renner, Dru B.
```*Status of Average-x from Lattice QCD*. United States. doi:10.1063/1.3631515.

```
Renner, Dru B. Wed .
"Status of Average-x from Lattice QCD". United States. doi:10.1063/1.3631515.
```

```
@article{osti_21608349,
```

title = {Status of Average-x from Lattice QCD},

author = {Renner, Dru B.},

abstractNote = {As algorithms and computing power have advanced, lattice QCD has become a precision technique for many QCD observables. However, the calculation of nucleon matrix elements remains an open challenge. I summarize the status of the lattice effort by examining one observable that has come to represent this challenge, average-x: the fraction of the nucleon's momentum carried by its quark constituents. Recent results confirm a long standing tendency to overshoot the experimentally measured value. Understanding this puzzle is essential to not only the lattice calculation of nucleon properties but also the broader effort to determine hadron structure from QCD.},

doi = {10.1063/1.3631515},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1369,

place = {United States},

year = {2011},

month = {9}

}

DOI: 10.1063/1.3631515

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