arXiv subjects

Gustavo M. Simões

Publications and source records attributed to Gustavo M. Simões.

3 recordsLinked to original sources

arXiv2026

Cartan Fluxes in $SU(3)$ Lattice Gauge Theory

We propose and analyze a new method of detecting center vortices and monopoles in lattice Yang-Mills theory. This procedure is sensitive to the intrinsic degeneracy of the center charges, which play a crucial role in how these topological objects interact and correlate with one another. Our approach is based on fixing the Maximal Abelian gauge (MAG) and decomposing the link configuration in a suitable way to look for so-called Cartan fluxes, by projecting the gauge fields onto the Cartan subalgebra. The method directly assigns the detection of monopoles to the roots of the gauge group, allowing a clearer and more robust characterization of the Abelian-charge content of the gauge configuration. Our discussion is general for $SU(N)$ gauge theory, but we focus our applications on the $SU(3)$ case. For the $SU(2)$ case, our proposed parametrization is equivalent to the standard one. We present a numerical study of the monopole density in $SU(3)$ theory, obtained using our method. A sizable difference in the number of monopoles is found between our proposed method and the standard one. Also, we observe a Weyl-symmetric distribution of monopole charges.

hep-lat↗

arXiv2026

Thick oriented and nonoriented center-vortex $SU(N)$ configurations with fractional topological charge lumps

Mixed oriented and nonoriented center vortices are known to generate nontrivial topological charge. However, most previous analyses have been restricted to Abelian-projected thin configurations. Studies of thick vortices have so far focused on the $SU(2)$ case and on the intersection of a single pair of oriented objects. In this work, we construct mixed oriented and nonoriented thick center-vortex gauge fields in $SU(N)$ with smooth profiles and explicit non-Abelian phases. These phases ensure a smooth interpolation between different Cartan fluxes at monopole junctions. We analyze the resulting topological charge density and visualize its morphology, elucidating the color structures responsible for fractional lumps that together yield a nonvanishing global charge.

hep-th↗

arXiv2024

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

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.

hep-th↗