Chen, Jiunn-Wei and Ishikawa, Tomomi and Jin, Luchang and Lin, Huey-Wen and Zhang, Jian-Hui and Zhao, Yong (2019) Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP3 Collaboration). CHINESE PHYSICS C, 43 (10): 103101. ISSN 1674-1137, 2058-6132
Full text not available from this repository. (Request a copy)Abstract
Using symmetry properties, we determine the mixing pattern of a class of nonlocal quark bilinear operators containing a straight Wilson line along a spatial direction. We confirm the previous study that mixing among the lowest dimensional operators, which have a mass dimension equal to three, can occur if chiral symmetry is broken in the lattice action. For higher dimensional operators, we find that the dimension-three operators will always mix with dimension-four operators, even if chiral symmetry is preserved. Also, the number of dimension-four operators involved in the mixing is large, and hence it is impractical to remove the mixing by the improvement procedure. Our result is important for determining the Bjorken-x dependence of the parton distribution functions using the quasi-distribution method on a Euclidean lattice. The requirement of using large hadron momentum in this approach makes the control of errors from dimension-four operators even more important.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONPERTURBATIVE RENORMALIZATION; CONTINUUM-LIMIT; Lattice QCD; operator mixing; nonlocal quark bilinear |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Apr 2020 08:48 |
| Last Modified: | 06 Apr 2020 08:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26168 |
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