Constraining the gauge-fixed Lagrangian in minimal Landau gauge

Abstract

A continuum formulation of gauge-fixing resolving the Gribov-Singer ambiguity remains a challenge. Finding a Lagrangian formulation of operational resolutions in numerical lattice calculations, like minimal Landau gauge, would be one possibility. Such a formulation will here be constrained by reconstructing the Dyson-Schwinger equation for which the lattice minimal-Landau-gauge ghost propagator is a solution. It is found that this requires an additional term. As a by-product new, high precision lattice results for the ghost-gluon vertex in three and four dimensions are obtained.

arXiv comment25 pages, 10 figures, 2 tables; v2: Added and expanded appendices with more details of the input data, revised and extended discussion, added references

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• More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• On the complex structure of Yang-Mills theory
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• A window on infrared QCD with small expansion parameters
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator