Zhang, Kuan and Huo, Yi-Kai and Ji, Xiangdong and Schaefer, Andreas and Shi, Chun-Jiang and Sun, Peng and Wang, Wei and Yang, Yi-Bo and Zhang, Jian-Hui (2024) Impact of gauge fixing precision on the continuum limit of nonlocal quark-bilinear lattice operators. PHYSICAL REVIEW D, 110 (7): 74505. ISSN 2470-0010, 2470-0029
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We analyze the gauge fixing precision dependence of some nonlocal quark-bilinear lattice operators interesting in computing parton physics for several measurements, using five lattice spacings ranging from 0.032 to 0.121 fm. Our results show that gauge-dependent nonlocal measurements are significantly more sensitive to the precision of gauge fixing than anticipated. The impact of imprecise gauge fixing is significant for fine lattices and long distances. For instance, even with the typically defined precision of Landau gauge fixing of 10(-8), the deviation caused by imprecise gauge fixing can reach 12%, when calculating the trace of Wilson lines at 1.2 fm with a lattice spacing of approximately 0.03 fm. Similar behavior has been observed in xi gauge and Coulomb gauge as well. For both quasi-parton-distribution functions (quasi-PDFs) and quasi-transverse-momentum-dependent PDFs operators renormalized using the spacings at long distance is only observed when the precision of Landau gauge fixing is sufficiently high. To describe these findings quantitatively, we propose an empirical formula to estimate the required precision.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONPERTURBATIVE RENORMALIZATION; GLUON; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Aug 2025 08:05 |
| Last Modified: | 20 Aug 2025 08:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/65566 |
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