Faddeev-Popov Matrix in Linear Covariant Gauge: First Results
Attilio Cucchieri, David Dudal, Tereza Mendes, Orlando Oliveira,, Martin Roelfs, Paulo J. Silva
TL;DR
This paper proposes a lattice-based definition of the Faddeev-Popov matrix in linear covariant gauge and presents initial results for the ghost propagator in SU(2) and SU(3) Yang-Mills theories.
Contribution
It introduces a new lattice definition of the Faddeev-Popov matrix in linear covariant gauge and provides first numerical results for the ghost propagator.
Findings
Initial ghost propagator data for SU(2) and SU(3)
Proposed a consistent lattice formulation of the Faddeev-Popov matrix
Found preliminary behavior of the ghost propagator in the studied gauge
Abstract
We discuss a possible definition of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present first results for the ghost propagator. We consider Yang-Mills theory in four space-time dimensions, for SU(2) and SU(3) gauge groups.
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