Confinement in SU(3: Simple and Generalized Maximal Abelian Gauge
John D. Stack, William W. Tucker, and Roy J. Wensley
TL;DR
This paper examines gauge-fixing issues in SU(3) lattice gauge theory, proposing a generalized maximal abelian gauge that improves string tension results and explores monopole and vortex structures.
Contribution
It introduces a generalized maximal abelian gauge for SU(3) and provides evidence linking monopoles to SU(2) subgroups and P-vortices to monopoles.
Findings
Standard maximal abelian gauge yields poor string tension results in SU(3)
Generalized gauge improves the reliability of gauge-fixing
Monopoles are associated with SU(2) subgroups and P-vortices pass through monopoles
Abstract
The general problem of obtaining reliable results from gauge-fixing and projection is discussed. It is shown that the usual form of the maximal abelian gauge gives poor results for the string tension in SU(3) lattice gauge theory. A generalized form is suggested. Evidence is presented that monopoles in SU(3) are associated with SU(2) subgroups, and that P-vortices pass through monopoles, similar to what happens in SU(2).
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Algebraic Geometry and Number Theory · Polynomial and algebraic computation