The Dyson-Schwinger equation of a link variable in lattice Landau gauge theory
Andre Sternbeck, Martin Schaden, Valentin Mader

TL;DR
This paper derives the Dyson-Schwinger equation for link variables in SU(n) lattice gauge theory within Landau gauge and compares it with Monte Carlo data, also exploring a lattice version of the Kugo-Ojima confinement criterion.
Contribution
It introduces a Dyson-Schwinger equation for link variables in lattice gauge theory and tests it against numerical data, providing new insights into confinement mechanisms.
Findings
Derived Dyson-Schwinger equation for link variables.
Compared theoretical predictions with Monte Carlo data.
Presented preliminary results on the lattice Kugo-Ojima criterion.
Abstract
We derive the Dyson-Schwinger equation of a link variable in SU(n) lattice gauge theory in minimal Landau gauge and confront it with Monte-Carlo data for the different terms. Preliminary results for the lattice analog of the Kugo-Ojima confinement criterion is also shown.
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