Towards the spectrum of a GUT from gauge invariance

Abstract

The description of electroweak physics using perturbation theory is highly successful. Though not obvious, this is due to a subtle field-theoretical effect, the Fröhlich-Morchio-Strocchi mechanism, which links the physical spectrum to that of the elementary particles. This works because of the special structure of the standard model, and it is not a priori clear whether it works for structurally different theories. Candidates for conflicts are, e.g., grand unified theories. We study this situation in a toy model, a $SU(3)$ gauge theory with two Higgs fields and a breaking pattern $SU(3)\to SU(2)\to 1$. This mimics the weak-Higgs sector of the standard model. We determine the leading order predictions for the gauge invariant spectrum in this theory, and discuss a setup to test them using lattice gauge theory.

arXiv commentPoster presented at the "27th International Symposium on Lepton Photon Interactions at High Energies", Ljubljana, August 2015. Final version with minor changes, PoS(LeptonPhoton2015)073

Cited by in corpus (1)

• Gauge invariance and the physical spectrum in the two-Higgs-doublet model