The observable spectrum for GUT-like theories
Abstract
The spectrum of nonabelian gauge theories cannot be described in terms of elementary particles, and so must be constructed from gauge-invariant composite operators, even in the presence of a Brout--Englert--Higgs effect. This leads to qualitative discrepancies in the prediction of the spectrum between perturbation theory and a full non-perturbative treatment in many theories. This is especially noticeable for GUTs. We present results corroborating this general statement using lattice simulations for a ''GUT-like'' toy theory, Yang--Mills theory coupled to a Higgs field in the fundamental representation. Despite the apparent simplicity of the model, we find a rich spectrum with some previously unseen features. We also outline the next steps required to generate a large operator basis to extend this investigation to more realistic GUTs.
Cite
@article{arxiv.2501.19212,
title = {The observable spectrum for GUT-like theories},
author = {Elizabeth Dobson and Axel Maas and Simon Plätzer and Bernd Riederer},
journal= {arXiv preprint arXiv:2501.19212},
year = {2025}
}