Predicting the singlet vector channel in a partially Higgsed gauge theory

Abstract

We study a toy version of a grand-unified theory on the lattice: An $SU(3)$ gauge theory, which experiences a Brout-Englert-Higgs effect due to a single Higgs field in the fundamental representation. This yields a perturbative breaking pattern $SU(3)\to SU(2)$. We investigate the singlet vector channel, finding an apparently non-degenerate and massive ground state. This is in contradistinction to the perturbative prediction of three massless and five massive vector states, even though the correlation functions of the gauge bosons exhibit a weak-coupling behavior, being almost tree-level-like. However, a combination of perturbation theory with the Fröhlich-Morchio-Strocchi mechanism allows to predict the physical spectrum in this channel.

minor modification, one figure added, version to appear in PRD

References in corpus (3)

• On the Ambiguity of Spontaneously Broken Gauge Symmetry
• (Non-)Aligned gauges and global gauge symmetry breaking
• A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory

Cited by in corpus (2)

• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• Center phase transition from matter propagators in (scalar) QCD