Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube

Abstract

In this work, we analyze a large class of effective Yang-Mills-Higgs models constructed in terms of adjoint scalars. In particular, we reproduce asymptotic properties of the confining string, suggested by lattice simulations of $SU(N)$ pure Yang-Mills theory, in models that are stable in the whole range of Higgs-field mass parameters. These properties include $N$-ality, Abelian-like flux-tube profiles, independence of the profiles with the $N$-ality of the quark representation, and Casimir scaling. We find that although these models are formulated in terms of many fields and possible Higgs potentials, a collective behavior can be established in a large region of parameter space, where the desired asymptotic behavior is realized.

24 pages, 1 figure

References in corpus (5)

• Confinement of quarks and valence gluons in SU(N) Yang-Mills-Higgs models
• BPS Z(N) String Tensions, Sine Law and Casimir Scaling and Integrable Field Theories
• From center-vortex ensembles to the confining flux tube
• The infrared Yang-Mills wave functional due to percolating center vortices
• BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric YMH models

Cited by in corpus (2)

• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism