Coloured loops in 4D and their effective field representation

Abstract

Gaining insight about ensembles of magnetic configurations, that could originate the confining string tension between quarks, constitutes a major concern in current lattice investigations. This interest also applies to a different approach, where gauge models with spontaneous symmetry breaking are constructed to describe the confining string as a smooth vortex solution. In this article, we initially show how to incorporate non Abelian information into an ensemble of monopoles in $4D$, characterized by phenomenological parameters. Next, using some recent techniques developed for polymers, we were able to relate the coloured ensemble with a non Abelian gauge model. This could offer an interesting perspective to discuss some of the different approaches to describe confinement.

27 pages, LaTeX

References in corpus (5)

• Magnetic component of Yang-Mills plasma
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Confinement of quarks and valence gluons in SU(N) Yang-Mills-Higgs models
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• Confinement and deconfinement for any gauge group from dyons viewpoint

Cited by in corpus (7)

• 4d ensembles of percolating center vortices and monopole defects: the emergence of flux tubes with N-ality and gluon confinement
• Detecting topological sectors in continuum Yang-Mills theory and the fate of BRST symmetry
• The infrared Yang-Mills wave functional due to percolating center vortices
• Effective theory of the D = 3 center vortex ensemble
• Exploring center vortices in SU(2) and SU(3) relativistic Yang-Mills-Higgs models
• $\mathrm{SU}(N)\to \mathrm{Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view
• Ensembles of center vortices and chains: Insights from a natural lattice framework