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Optimizing stochastic algorithms for hadron correlation function computations in lattice QCD using a localized distillation basis

Nicolas Lang1,*, Robert G. Edwards2,†, and Michael J. Peardon3,‡ (for the Hadron Spectrum Collaboration)

  • *Contact author: nicolas.lang@ific.uv.es
  • †Contact author: edwards@jlab.org
  • ‡Contact author: mjp@maths.tcd.ie
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Phys. Rev. D 111, 114510 – Published 17 June, 2025

DOI: https://doi.org/10.1103/mv6l-m8rq

Abstract

Distillation is a quark-smearing method for the construction of a broad class of hadron operators useful in lattice QCD computations and defined via a projection operator into a vector space of smooth gauge-covariant fields. A new orthonormal basis for this space is constructed which builds in locality. This basis is useful for the construction of stochastic methods to estimate the correlation functions computed in Monte Carlo calculations relevant for hadronic physics.

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References (30)

  1. M. Peardon, J. Bulava, J. Foley, C. Morningstar, J. Dudek, R. G. Edwards, B. Joo, H.-W. Lin, D. G. Richards, and K. J. Juge (Hadron Spectrum Collaboration), Phys. Rev. D 80, 054506 (2009).
  2. J. J. Dudek, R. G. Edwards, M. J. Peardon, D. G. Richards, and C. E. Thomas, Phys. Rev. Lett. 103, 262001 (2009).
  3. J. J. Dudek, R. G. Edwards, B. Joo, M. J. Peardon, D. G. Richards, and C. E. Thomas, Phys. Rev. D 83, 111502 (2011).
  4. L. Liu, G. Moir, M. Peardon, S. M. Ryan, C. E. Thomas, P. Vilaseca, J. J. Dudek, R. G. Edwards, B. Joo, and D. G. Richards (Hadron Spectrum Collaboration), J. High Energy Phys. 07 (2012) 126.
  5. N. Lang and D. J. Wilson (Hadron Spectrum Collaboration), Phys. Rev. Lett. 129, 252001 (2022).
  6. D. J. Wilson, C. E. Thomas, J. J. Dudek, and R. G. Edwards (Hadron Spectrum Collaboration), Phys. Rev. Lett. 132, 241901 (2024).
  7. H. Yan, M. Garofalo, M. Mai, U.-G. Meißner, and C. Urbach, Phys. Rev. Lett. 133, 211906 (2024).
  8. H. Li, C. Shi, Y. Chen, M. Gong, J. Liang, Z. Liu, and W. Sun, arXiv:2402.14541.
  9. P. Boyle, F. Erben, V. Gülpers, M. T. Hansen, F. Joswig, N. P. Lachini, M. Marshall, and A. Portelli, Phys. Rev. Lett. 134, 111901 (2025).
  10. F. Knechtli, T. Korzec, M. Peardon, and J. A. Urrea-Niño, Phys. Rev. D 106, 034501 (2022).
  11. M. Luscher, Nucl. Phys. B354, 531 (1991).
  12. M. Luscher and U. Wolff, Nucl. Phys. B339, 222 (1990).
  13. R. A. Briceno, J. J. Dudek, and R. D. Young, Rev. Mod. Phys. 90, 025001 (2018).
  14. S. Basak, R. G. Edwards, G. T. Fleming, U. M. Heller, C. Morningstar, D. Richards, I. Sato, and S. Wallace, Phys. Rev. D 72, 094506 (2005).
  15. R. G. Edwards, J. J. Dudek, D. G. Richards, and S. J. Wallace, Phys. Rev. D 84, 074508 (2011).
  16. J. R. Green, A. D. Hanlon, P. M. Junnarkar, and H. Wittig, Phys. Rev. Lett. 127, 242003 (2021).
  17. G. K. C. Cheung, C. E. Thomas, J. J. Dudek, and R. G. Edwards (Hadron Spectrum Collaboration), J. High Energy Phys. 11 (2017) 033.
  18. S. Collins, A. Nefediev, M. Padmanath, and S. Prelovsek, Phys. Rev. D 109, 094509 (2024).
  19. C. Morningstar, J. Bulava, J. Foley, K. J. Juge, D. Lenkner, M. Peardon, and C. H. Wong, Phys. Rev. D 83, 114505 (2011).
  20. J. Foley, K. Jimmy Juge, A. O’Cais, M. Peardon, S. M. Ryan, and J.-I. Skullerud, Comput. Phys. Commun. 172, 145 (2005).
  21. M. H. Hansen and W. N. Hurwitz, Ann. Math. Stat. 14, 333 (1943).
  22. C. Morningstar and M. Peardon, Phys. Rev. D 69, 054501 (2004).
  23. R. G. Edwards and B. Joo (SciDAC, LHPC, and UKQCD Collaborations), Nucl. Phys. B, Proc. Suppl. 140, 832 (2005).
  24. M. A. Clark, R. Babich, K. Barros, R. C. Brower, and C. Rebbi (QUDA Collaborations), Comput. Phys. Commun. 181, 1517 (2010).
  25. R. Babich, M. A. Clark, and B. Joo, in Proceedings of Supercomputing 2010 (SC 10) (2010), arXiv:1011.0024.
  26. B. Joó, D. D. Kalamkar, K. Vaidyanathan, M. Smelyanskiy, K. Pamnany, V. W. Lee, P. Dubey, and W. Watson, Lect. Notes Comput. Sci. 7905, 40 (2013).
  27. J. C. Osborn, R. Babich, J. Brannick, R. C. Brower, M. A. Clark, S. D. Cohen, and C. Rebbi, Proc. Sci. LATTICE2010 (2010) 037 [arXiv:1011.2775].
  28. R. Babich, J. Brannick, R. C. Brower, M. A. Clark, T. A. Manteuffel, S. F. McCormick, J. C. Osborn, and C. Rebbi, Phys. Rev. Lett. 105, 201602 (2010).
  29. J. Chen, R. G. Edwards, and W. Mao, in Platform for Advanced Scientific Computing (Association for Computing Machinery, New York, NY, 2023).
  30. www.hadspec.org.

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Phys. Rev. D 111, 114510– Published 17 June, 2025
  • Received 14 February 2025
  • Accepted 16 May 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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