Altenkort, Luis and Eller, Alexander M. and Kaczmarek, O. and Mazur, Lukas and Moore, Guy D. and Shu, Hai-Tao (2022) Lattice QCD noise reduction for bosonic correlators through blocking. PHYSICAL REVIEW D, 105 (9): 094505. ISSN 2470-0010, 2470-0029
Full text not available from this repository.Abstract
We propose a method to substantially improve the signal-to-noise ratio of lattice correlation functions for bosonic operators or other operator combinations with disconnected contributions. The technique is applicable for correlations between operators on two planes (zero momentum correlators) when the dimension of the plane is larger than the separation between the two planes which are correlated. In this case, the correlation arises primarily from points whose in-plane coordinates are close, but noise arises from all pairs of points. By breaking each plane into bins and computing bin-bin correlations, it is possible to capture these short-distance correlators exactly while replacing (small) correlators at large spatial extent with a fit, with smaller uncertainty than the data. The cost is only marginally larger than averaging each plane before correlating, but the improvement in signal-to-noise can be substantial. We test the method on correlators of the gradient-flowed topological charge density and squared field strength, finding noise reductions by a factor of similar to 3-7 compared to the conventional approach on the same ensemble of configurations.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Feb 2024 06:58 |
| Last Modified: | 16 Feb 2024 06:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57910 |
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