Open Letter to the MILC Collaboration: Why Does the Coarsest Lattice Spacing Stop Just Below the Proton's Compton Wavelength?

The coarsest ensembles used by the MILC collaboration for precision light-hadron physics have had a lattice spacing of about 0.18 fm for more than twenty years, while the finest end of the sequence has moved steadily down (0.15, 0.12, 0.09, 0.06, ≈0.042, 0.03 fm). The proton's reduced Compton wavelength is ƛp = ħ/(mpc) = 0.21031 fm. This letter asks three questions about the position of that upper edge. It makes no claim that lattice QCD results are wrong; it asks for the reasoning behind a limit that, as far as the author could find, is nowhere stated explicitly. Open letter. Background: Appendix A1.4 of Theory of Space, Volume 1. https://theoryof.space

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23351672
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
0.00
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article

Open Letter to the MILC Collaboration: Why Does the Coarsest Lattice Spacing Stop Just Below the Proton's Compton Wavelength?

Yevhenii Stakhov
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
article

Open Letter to the MILC Collaboration: Why Does the Coarsest Lattice Spacing Stop Just Below the Proton's Compton Wavelength?

Yevhenii Stakhov
article en

Abstract

The coarsest ensembles used by the MILC collaboration for precision light-hadron physics have had a lattice spacing of about 0.18 fm for more than twenty years, while the finest end of the sequence has moved steadily down (0.15, 0.12, 0.09, 0.06, ≈0.042, 0.03 fm). The proton's reduced Compton wavelength is ƛp = ħ/(mpc) = 0.21031 fm. This letter asks three questions about the position of that upper edge. It makes no claim that lattice QCD results are wrong; it asks for the reasoning behind a limit that, as far as the author could find, is nowhere stated explicitly. Open letter. Background: Appendix A1.4 of Theory of Space, Volume 1. https://theoryof.space

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 17%
Quantum Chromodynamics and Particle Interactions
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