Role of the SU($2$) and SU($3$) subgroups in observing confinement in the G($2$) gauge group

Abstract

Applying the domain model to the G($2$) gauge group and the thick center vortex model to the SU($2$) and SU($3$) subgroups of G($2$), we calculate the potentials between static sources, as well as some parameters of the vortex profile. Comparing the results obtained from G($2$) and its subgroups, we argue that SU($2$) and SU($3$) gauge groups have important roles in observing confinement in the G($2$) gauge group.

References in corpus (6)

• Exceptional Deconfinement in G(2) Gauge Theory
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• G_2 gauge theory at finite temperature
• Casimir scaling in G(2) lattice gauge theory
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Removing the concavity of the thick center vortex potentials by fluctuating the vortex profile

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• Correlations between Abelian Monopoles and center vortices
• Cho decomposition, Abelian gauge fixing and monopoles in G(2) Yang-Mills theory
• Domain structures and quark potentials in SU($3$) gauge theory
• $F_4$ , $E_6$ and $G_2$ Exceptional Gauge Groups in Vacuum Domain Structure Model
• The Resurgence of the G(2) Group for the Strong Sector and the Emergence of Dark Matter