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Using the Landau gauge gluon propagator to set the lattice physical scales and understanding the finite size effects

Orlando Oliveira* and Paulo J. Silva†

  • *Contact author: orlando@uc.pt
  • †Contact author: psilva@uc.pt
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Phys. Rev. D 113, 074512 – Published 20 April, 2026

DOI: https://doi.org/10.1103/vyqj-7x47

Abstract

A crucial step in extracting physical predictions from lattice quantum chromodynamics (QCD) simulations is the scale setting, i.e., the determination of the lattice spacing (a) in physical units. Herein, the relative scale setting for different β’s is discussed, using the Landau gauge gluon propagator computed with large statistical ensembles. After setting the relative scales, finite size effects are observed in the ultraviolet regime and handled in an effective description, inspired in perturbation theory. The new devised procedure is efficient in handling the finite size effects, linking the lattice simulations with continuum perturbation theory for the high momenta regime. Furthermore, the procedure can be extended to handle other Green’s functions computed within lattice QCD simulations.

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Phys. Rev. D 113, 074512– Published 20 April, 2026
  • Received 2 January 2026
  • Accepted 12 March 2026
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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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