Lattice QCD noise reduction for bosonic correlators through blocking

Altenkort L, Eller AM, Kaczmarek O, Mazur L, Moore GD, Shu H-T (2022)
Physical Review D 105(9): 094505.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Altenkort, LuisUniBi ; Eller, Alexander M.; Kaczmarek, OlafUniBi ; Mazur, Lukas; Moore, Guy D.; Shu, Hai-Tao
Abstract / Bemerkung
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 ∼\sim∼ 3−-−7 compared to the conventional approach on the same ensemble of configurations.
Erscheinungsjahr
2022
Zeitschriftentitel
Physical Review D
Band
105
Ausgabe
9
Art.-Nr.
094505
ISSN
2470-0010
eISSN
2470-0029
Page URI
https://pub.uni-bielefeld.de/record/2963709

Zitieren

Altenkort L, Eller AM, Kaczmarek O, Mazur L, Moore GD, Shu H-T. Lattice QCD noise reduction for bosonic correlators through blocking. Physical Review D. 2022;105(9): 094505.
Altenkort, L., Eller, A. M., Kaczmarek, O., Mazur, L., Moore, G. D., & Shu, H. - T. (2022). Lattice QCD noise reduction for bosonic correlators through blocking. Physical Review D, 105(9), 094505. https://doi.org/10.1103/PhysRevD.105.094505
Altenkort, L., Eller, A. M., Kaczmarek, O., Mazur, L., Moore, G. D., and Shu, H. - T. (2022). Lattice QCD noise reduction for bosonic correlators through blocking. Physical Review D 105:094505.
Altenkort, L., et al., 2022. Lattice QCD noise reduction for bosonic correlators through blocking. Physical Review D, 105(9): 094505.
L. Altenkort, et al., “Lattice QCD noise reduction for bosonic correlators through blocking”, Physical Review D, vol. 105, 2022, : 094505.
Altenkort, L., Eller, A.M., Kaczmarek, O., Mazur, L., Moore, G.D., Shu, H.-T.: Lattice QCD noise reduction for bosonic correlators through blocking. Physical Review D. 105, : 094505 (2022).
Altenkort, Luis, Eller, Alexander M., Kaczmarek, Olaf, Mazur, Lukas, Moore, Guy D., and Shu, Hai-Tao. “Lattice QCD noise reduction for bosonic correlators through blocking”. Physical Review D 105.9 (2022): 094505.

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arXiv: 2112.02282

Inspire: 1984725

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