Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2610.33611

Spectroscopy of the SU(2) scalar-fermion-gauge system under the influence of the Brout-Englert-Higgs effect

Axel Maas·Sofie Martins·Georg Wieland
View original source ↗Read source document ↗Export metadata ↓

Abstract

We investigate the ground state spectrum of a dynamical scalar-fermion-gauge system with an SU(2) gauge group, a scalar doublet, and two degenerate generations of vectorial fermions under the influence of the Brout-Englert-Higgs effect. To this end, we employ lattice methods using the HiRep code. We study the dependence of the system on the (bare) fermion mass and find that the spectrum remains unaffected, up to trivial fermion mass effects. The results are in line with a weakly coupled theory exhibiting the Fröhlich-Morchio-Strocchi mechanism.

Explore related subjects

hep-lathep-phhep-th

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Axel Maas, Sofie Martins, Georg Wieland. 2026-10-24. Spectroscopy of the SU(2) scalar-fermion-gauge system under the influence of the Brout-Englert-Higgs effect. https://arxiv.org/abs/2610.33611

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

QCD on the 16-cell honeycomb

We formulate QCD discretized on the four dimensional 16-cell honeycomb. The advantage is a higher degree of rotational symmetry as compared to a traditional cubic lattice leading to much smaller cut-off effects. We demonstrate in quenched QCD, through both gluonic and fermionic observables, that the scaling properties are indeed superior to the cubic lattice and much larger lattice spacings are sufficient for controlled continuum extrapolations. Chiral and topological properties also show remarkable improvement.

hep-lat↗
arXiv2026

A different kind of continuum limit for the three-dimensional U(1) gauge theory

In three-dimensional compact U(1) lattice gauge theory color confinement can be understood analytically through the dynamics of magnetic monopoles. However, its continuum limit is pathological, since the ratio of the glueball masses to the square root of the string tension vanishes as the continuum limit is approached. We investigate a simple extension of the Wilson action in which the total number of lattice monopoles is coupled to an additional parameter $μ$. By tuning $β$ and $μ$ simultaneously, we identify a line of constant physics along which the ratio of the lightest glueball mass to the square root of the string tension remains constant. We further show that the same scaling is satisfied, within numerical uncertainties, by the other low-lying glueball masses considered in this work. Along this trajectory, the string tension in lattice units decreases with increasing $β$, thus suggesting that the modified lattice action may provide a regularization of three-dimensional compact U(1) gauge theory with a physically well-behaved continuum limit.

hep-lat↗
arXiv2026

Large-$N$ $π^+π^+$ scattering from twisted Eguchi--Kawai reduction

We present the first computation of the $π^+π^+$ scattering length in large-$N$ QCD in the 't Hooft limit, $N_{\scriptscriptstyle{\rm f}}/N\to 0$, using the twisted Eguchi--Kawai formulation of the lattice theory. We employ values of $N$ up to 1156 and consider several quark masses and lattice spacings to achieve controlled large-$N$, continuum, and chiral limits. The chiral behavior of the scattering length is compared with next-to-leading-order Chiral Perturbation Theory predictions. Our result for the low-energy coupling describing the sub-leading quark-mass dependence is consistent with existing S-matrix bootstrap bounds. Combining TEK results with previous lattice QCD data obtained using standard methods for $3\le N\le 6$, we are also able to extract sub-leading $\mathcal{O}(1/N)$ corrections to the large-$N$ scattering length.

hep-lat↗