Preprint PUBDB-2025-05454

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Investigating a two-level algorithm for fermionic observables

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2025

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Report No.: CERN-TH-2025-249; DESY-25-184; arXiv:2512.10644

Abstract: We investigate the combination of a two-level sampling algorithm with distillation techniques to compute disconnected fermionic correlation functions. The method relies on a factorization of the quark propagator into domain-local contributions that depend only on the gauge fields within overlapping temporal regions, enabling independent submeasurements of each term through a two-level sampling strategy. The two-level estimators exhibit the expected $1/N_1^2$ scaling of the variance, up to exponential boundary effects, and achieve an exponential reduction of statistical errors at a modest additional computational cost, which is negligible compared to the resulting gain in statistical precision. The method is tested on pure gauge ensembles, providing a controlled benchmark for its forthcoming application to dynamical QCD studies of glueball and isosinglet meson correlation functions.


Note: 28 pages, 8 figures

Contributing Institute(s):
  1. Zeuthen Particle PhysicsTheory (Z_ZPPT)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)451886959 - FOR 5269: Zukünftige Methoden für Studien von eingeschlossenen Gluonen in QCD (451886959) (451886959)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2025
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Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Published
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;
Investigating a two-level algorithm for fermionic observables
Physical review / D 113(3), 034505 () [10.1103/grxd-71sk]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2025-12-09, last modified 2026-03-08