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arXiv · 2308.07485

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

David R. Junior·Luis E. Oxman·Gustavo M. Simões
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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.

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David R. Junior, Luis E. Oxman, Gustavo M. Simões. 2023-08-14. Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube. https://doi.org/10.1103/physrevd.108.094021

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