Confinement of quarks and valence gluons in SU(N) Yang-Mills-Higgs models

Abstract

In this work, we analyze a class of Yang-Mills models containing adjoint Higgs fields, with SU(N) symmetry spontaneously broken down to Z(N), showing they contain center vortices, Y-junctions formed by them, and junctions where different center vortices are smoothly interpolated by monopole-like configurations. In the context of dual superconductors, these objects represent different states of the gluon field. Center vortices confine quarks to form normal hadron states. The interpolating monopole, which in our model cannot exist as an isolated configuration, is identified with a confined valence gluon. A junction containing a monopole can bind quarks in a color nonsinglet state to form an overall neutral object, identified with a hybrid hadron. These states, formed by quarks bound to a valence gluon, are allowed by QCD, and current experimental collaborations are aimed at identifying them. Finally, considering the general version of the model, based on a compact simple gauge group G, the picture is completed with a heuristic discussion about why it would be natural using as G the dual of the chromoelectric gauge group G_e, and external pointlike monopoles to represent the mesonic and baryonic Wilson loops.

arXiv comment53 pages, 2 figures

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Cited by in corpus (25)

• 4d ensembles of percolating center vortices and monopole defects: the emergence of flux tubes with N-ality and gluon confinement
• A model of random center vortex lines in continuous 2+1-dimensional space-time
• Confining Bond Rearrangement in the Random Center Vortex Model
• From center-vortex ensembles to the confining flux tube
• $k$-Strings with exact Casimir law and Abelian-like profiles
• 3D Yang-Mills confining properties from a non-Abelian ensemble perspective
• The infrared Yang-Mills wave functional due to percolating center vortices
• Detecting topological sectors in continuum Yang-Mills theory and the fate of BRST symmetry
• Exploring center vortices in SU(2) and SU(3) relativistic Yang-Mills-Higgs models
• Coloured loops in 4D and their effective field representation
• $\mathrm{SU}(N)\to \mathrm{Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view
• Study of Gribov Copies in the Yang-Mills ensemble
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric YMH models
• Non Abelian structures and the geometric phase of entangled qudits
• Renormalizability of the center-vortex free sector of Yang-Mills theory
• Renormalizability of a first principles Yang-Mills center-vortex ensemble
• Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube
• The Smallest SU($N$) Hadrons
• Magnetic structures and Z_2 vortices in a non-Abelian gauge model
• Detection of monopoles and vortices in SU(2) Yang-Mills theory
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• Fractional topological charges and the lowest Dirac modes
• Monopoles, vortices and their correlations in SU(3) gauge group
• Thick oriented and nonoriented center-vortex $SU(N)$ configurations with fractional topological charge lumps