The Maximal Abelian Gauge in SU(3) Lattice Gauge Theory
William W. Tucker, John D. Stack
TL;DR
This paper investigates the maximal abelian gauge in SU(3) lattice gauge theory by gauge fixing configurations, projecting to subgroups, and measuring string tensions and topological densities to understand confinement mechanisms.
Contribution
It introduces a detailed procedure for gauge fixing and subgroup projection in SU(3) lattice configurations, and measures related string tensions and topological quantities.
Findings
U(1)xU(1) and monopole string tensions measured
Vortex string tension obtained after center gauge fixing
Magnetic current densities analyzed
Abstract
We gauge fix 600 SU(3) beta=6.0 configurations on a 16^4 lattice to a simple form of the maximal abelian gauge. We project the SU(3) valued links to the U(1)xU(1) subgroup, and extract U(1)xU(1) and monopole string tensions. After gauge fixing to the indirect center gauge, the U(1)xU(1) links are projected to Z(3) and a vortex string tension is measured. The vortex and magnetic current densities are measured.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry