Constraining the gauge-fixed Lagrangian in minimal Landau gauge
Axel Maas
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.
Topics & Concepts
PropagatorPhysicsLattice (music)Hamiltonian lattice gauge theoryMathematical physicsLattice gauge theoryLattice field theoryLagrangianGauge theoryBRST quantizationAmbiguityFaddeev–Popov ghostTheoretical physicsGauge anomalyComputer scienceAcousticsProgramming languageQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research