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PreprintCC BY 4.0arXiv

Subtraction method for disconnected diagrams in full QCD

Abstract

Disconnected diagrams remain a major challenge for precision lattice QCD calculations because of their large statistical fluctuations. We investigate a subtraction method based on a domain decomposition of the Dirac operator, yielding a biased but substantially less noisy estimator. Applying the method to charmonium disconnected correlators computed using distillation, we achieve a variance reduction of about three orders of magnitude at only twice the computational cost, providing a practical alternative to completely neglecting disconnected contributions.

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BibTeX
@misc{barca2026subtraction,
  title = {{Subtraction method for disconnected diagrams in full QCD}},
  author = {Lorenzo Barca and Joshua Crawford and Jacob Finkenrath and Stefan Schaefer and Juan Andrés Urrea-Niño},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37049},
  eprint = {2609.37049},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37049},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Subtraction method for disconnected diagrams in full QCD
AU  - Lorenzo Barca
AU  - Joshua Crawford
AU  - Jacob Finkenrath
AU  - Stefan Schaefer
AU  - Juan Andrés Urrea-Niño
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37049
UR  - https://arxiv.org/abs/2609.37049
AB  - Disconnected diagrams remain a major challenge for precision lattice QCD calculations because of their large statistical fluctuations. We investigate a subtraction method based on a domain decomposition of the Dirac operator, yielding a biased but substantially less noisy estimator. Applying the method to charmonium disconnected correlators computed using distillation, we achieve a variance reduction of about three orders of magnitude at only twice the computational cost, providing a practical alternative to completely neglecting disconnected contributions.
ER  -