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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.19212 |
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| _version_ | 1866909471267094528 |
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| author | Dobson, Elizabeth Maas, Axel Plätzer, Simon Riederer, Bernd |
| author_facet | Dobson, Elizabeth Maas, Axel Plätzer, Simon Riederer, Bernd |
| contents | 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, $\mathrm{SU}(3)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The observable spectrum for GUT-like theories Dobson, Elizabeth Maas, Axel Plätzer, Simon Riederer, Bernd High Energy Physics - Lattice 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, $\mathrm{SU}(3)$ 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. |
| title | The observable spectrum for GUT-like theories |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.19212 |