Constraining the gauge-fixed Lagrangian in minimal Landau gauge

Understand

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.