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Toward precise ξ gauge fixing for lattice QCD

Li-Jun Zhou1, Dian-Jun Zhao2, Wei-jie Fu1,*, Chun-Jiang Shi3, Ji-Hao Wang4,5, and Yi-Bo Yang4,5,6,7,† (χQCD Collaboration)

  • *Contact author: wjfu@dlut.edu.cn
  • †Contact author: ybyang@itp.ac.cn
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Phys. Rev. D 113, 114517 – Published 17 June, 2026

DOI: https://doi.org/10.1103/n19w-y4lj

Abstract

Lattice QCD provides a first-principles framework for solving quantum chromodynamics. However, its application to off-shell partons has been largely restricted to the Landau gauge, as achieving high-precision ξ gauge fixing on the lattice poses significant challenges. Motivated by a universal power-law dependence of off-shell parton matrix elements on gauge-fixing precision in the Landau gauge, we propose an empirical precision-extrapolation method to approximate high-precision ξ gauge fixing. By properly defining the bare gauge coupling and then the effective ξ, we validate our ξ gauge-fixing procedure by successfully reproducing the ξ-dependent regularization-independent momentum-subtraction renormalization constants for local quark bilinear operators at 0.3% level, up to ξ∼1.

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Phys. Rev. D 113, 114517– Published 17 June, 2026
  • Received 16 October 2025
  • Revised 3 April 2026
  • Accepted 26 May 2026
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