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.

Comments: 25 pages, 10 figures, 2 tables; v2: Added and expanded appendices with more details of the input data, revised and extended discussion, added references