Confinement In SU(3): Simple and Generalized Maximal Abelian Gauge

Stack, John D.; Tucker, William W.; Wensley, Roy J.

doi:10.1007/978-94-010-0502-9_32

Cited by 2 publications

(1 citation statement)

References 8 publications

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“…This method of treating the magnetic current has the advantage that it does not force a particular subgroup structure for SU(3) monopoles. Evidence that they are in fact associated with SU(2) subgroups is presented elsewhere [10].…”

Section: Su(3) Monopolesmentioning

confidence: 97%

The maximal abelian gauge, monopoles, and vortices in SU(3) lattice gauge theory

2002

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We report on calculations of the heavy quark potential in SU(3) lattice gauge theory. Full SU(3) results are compared to three cases which involve gauge-fixing and projection. All of these start from the maximal abelian gauge (MAG), in its simplest form. The first case is abelian projection to U(1) × U(1). The second keeps only the abelian fields of monopoles in the MAG. The third involves an additional gauge-fixing to the indirect maximal center gauge (IMCG), followed by center projection to Z(3). At one gauge fixing/configuration, the string tensions calculated from MAG U(1) × U(1), MAG monopoles, and IMCG Z(3) are all less than the full SU(3) string tension. The projected string tensions further decrease, by approximately 10%, when account is taken of gauge ambiguities. Comparison is made with corresponding results for SU(2). It is emphasized that the formulation of the MAG is more subtle for SU(3) than for SU(2), and that the low string tensions may be caused by the simple MAG form used. A generalized MAG for SU(3) is formulated.

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Section: Su(3) Monopolesmentioning

confidence: 97%

The maximal abelian gauge, monopoles, and vortices in SU(3) lattice gauge theory

2002

Self Cite

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Topological data analysis of monopole current networks in $U(1)$ lattice gauge theory

Crean,

Giansiracusa,

Lucini

2024

SciPost Phys.

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In 44-dimensional pure compact U(1)U(1) lattice gauge theory, we analyse topological aspects of the dynamics of monopoles across the deconfinement phase transition. We do this using tools from Topological Data Analysis (TDA). We demonstrate that observables constructed from the zeroth and first homology groups of monopole current networks may be used to quantitatively and robustly locate the critical inverse coupling \beta_{c}βc through finite-size scaling. Our method provides a mathematically robust framework for the characterisation of topological invariants related to monopole currents, putting on firmer ground earlier investigations. Moreover, our approach can be generalised to the study of Abelian monopoles in non-Abelian gauge theories.

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Confinement In SU(3): Simple and Generalized Maximal Abelian Gauge

Cited by 2 publications

References 8 publications

The maximal abelian gauge, monopoles, and vortices in SU(3) lattice gauge theory

The maximal abelian gauge, monopoles, and vortices in SU(3) lattice gauge theory

Topological data analysis of monopole current networks in $U(1)$ lattice gauge theory

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