From center-vortex ensembles to the confining flux tube

Abstract

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang-Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modelling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the nonoriented center-vortex component and non-Abelian degrees when modelling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.

References in corpus (4)

• SU(N) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
• Confinement of quarks and valence gluons in SU(N) Yang-Mills-Higgs models
• The road to solving the Gribov problem of the center vortex model in quantum chromo dynamics
• 3D Yang-Mills confining properties from a non-Abelian ensemble perspective

Cited by in corpus (6)

• The infrared Yang-Mills wave functional due to percolating center vortices
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Investigation of the ensemble of maximal center gauge
• Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube
• Renormalizability of a first principles Yang-Mills center-vortex ensemble
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism