Potentials between static SU(3) sources in the fat-center-vortices model

Abstract

The potentials between static sources in various representaions in SU(3) are calculated based on the fat-center-vortices model of Faber, Greensite and Olejnik. At intermediate distances, most distributions of the flux within vortices lead to potentials that are qualitatively in agreement with ``Casimir scaling,'' which says that the string tension is proportional to the quadratic operator of the representation. However, at the quantitative level, violations of Casimir scaling are generally much larger than those seen in numerical simulations, indicating that additional physical input to the fat-center-vortices model is required. At large distances, screening occurs for zero-triality representations; for the representations with non-zero triality the string tension equals that of the fundamental representation. Some rather ``unphysical,'' flux distributions can lead to violations of Casimir scaling at intermediate distances and violations of the expected ordering of representations at large distances.

Compare to the previosly archived edition, I have extended the work to include various classes of vortex flux distribution which has resulted in some interesting new results on the relevance of the flux distributions for the physical consequences of the model. This version corresponds to the published version

Cited by in corpus (19)

• The Confinement Problem in Lattice Gauge Theory
• Confining strings in SU(N) gauge theories
• Spectrum of confining strings in SU(N) gauge theories
• Closed k-strings in SU(N) gauge theories : 2+1 dimensions
• Closed flux tubes in higher representations and their string description in D=2+1 SU(N) gauge theories
• Confinement and the second vortex of the SU(4) gauge group
• Removing the concavity of the thick center vortex potentials by fluctuating the vortex profile
• Short distance potential and the thick center vortex model
• From center-vortex ensembles to the confining flux tube
• SU(4) string tensions from the fat-center-vortices model
• Glueballs, strings and topology in SU(N) gauge theory
• Contributions of the center vortices and vacuum domain in potentials between static sources
• Coloured loops in 4D and their effective field representation
• Quark Confinement in Restricted SU(2) Gauge Theory
• The effect of $SU(4)$ group factor in the thick center vortex potentials
• Confinement in G(2) Gauge Theories Using Thick Center Vortex Model and domain structures
• A new lattice measurement for potentials between static SU(3) sources
• $F_4$ , $E_6$ and $G_2$ Exceptional Gauge Groups in Vacuum Domain Structure Model
• Monopole-center vortex chains in $SU(2)$ gauge theory