Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

QCD on the 16-cell honeycomb

Sandor D. Katz* and Daniel Nogradi†

  • *Contact author: katz@bodri.elte.hu
  • †Contact author: nogradi@bodri.elte.hu

Phys. Rev. D 114, 054504 – Published 14 September, 2026

DOI: https://doi.org/10.1103/46gx-2xmv

Abstract

We formulate QCD discretized on the four-dimensional 16-cell honeycomb. The advantage is a higher degree of rotational symmetry as compared to a traditional cubic lattice leading to much smaller cutoff effects. We demonstrate in quenched QCD, through both gluonic and fermionic observables, that the scaling properties are indeed superior to the cubic lattice and much larger lattice spacings are sufficient for controlled continuum extrapolations. Chiral and topological properties also show remarkable improvement.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (18)

  1. W. Celmaster, Phys. Rev. D 26, 2955 (1982).
  2. W. Celmaster and F. Krausz, Phys. Rev. D 28, 1527 (1983).
  3. W. Celmaster, Phys. Rev. D 28, 2076 (1983).
  4. W. Celmaster, Phys. Rev. Lett. 52, 403 (1984).
  5. W. Celmaster and K. J. M. Moriarty, Comput. Phys. Commun. 34, 415 (1985).
  6. W. Celmaster, E. Kovacs, F. Green, and R. Gupta, Phys. Rev. D 33, 3022 (1986).
  7. W. Celmaster and K. J. M. Moriarty, Phys. Rev. D 33, 3718 (1986).
  8. H. Neuberger, Phys. Lett. B 199, 536 (1987).
  9. G. Bhanot, K. Bitar, U. M. Heller, and H. Neuberger, Nucl. Phys. B343, 467 (1990).
  10. G. Bhanot, K. Bitar, U. M. Heller, and H. Neuberger, Nucl. Phys. B353, 551 (1991); B375, 503(E) (1992).
  11. J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Grundlehren der mathematischen Wissenschaften Vol. 290 (Springer, New York, 1999).
  12. M. Lüscher, J. High Energy Phys. 08 (2010) 071; 03 (2014) 092.
  13. M. Cè, C. Consonni, G. P. Engel, and L. Giusti, Phys. Rev. D 92, 074502 (2015).
  14. T. Reisz, Commun. Math. Phys. 116, 81 (1988).
  15. T. Reisz and H. J. Rothe, Phys. Lett. B 455, 246 (1999).
  16. B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259, 572 (1985).
  17. C. Morningstar and M. J. Peardon, Phys. Rev. D 69, 054501 (2004).
  18. P. Hernandez, Nucl. Phys. B536, 345 (1998).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation