Exploring center vortices in SU(2) and SU(3) relativistic Yang-Mills-Higgs models

Abstract

We develop numerical tools and apply them to solve the relativistic Yang--Mills--Higgs equations in a model where the SU(N) symmetry is spontaneously broken to its center. In SU(2) and SU(3), we obtain the different field profiles for infinite and finite center vortices, with endpoints at external monopole sources. Exploration of parameter space permits the detection of a region where the equations get Abelianized. Finally, a general parametrization of the color structure of SU(2) fields leads us to a reference point where an Abelian-like BPS bound is reconciled with N-ality.

25 pages, 5 figures

References in corpus (5)

• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• Confinement of quarks and valence gluons in SU(N) Yang-Mills-Higgs models
• Non-Abelian String of a Finite Length
• Coloured loops in 4D and their effective field representation

Cited by in corpus (6)

• 4d ensembles of percolating center vortices and monopole defects: the emergence of flux tubes with N-ality and gluon confinement
• $k$-Strings with exact Casimir law and Abelian-like profiles
• The infrared Yang-Mills wave functional due to percolating center vortices
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Study of Gribov Copies in the Yang-Mills ensemble
• BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric YMH models