Makeenko-Migdal equations for lattice Yang-Mills-Higgs
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917114118406144 |
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| author | Shen, Hao Smith, Scott Andrew Zhu, Rongchan |
| author_facet | Shen, Hao Smith, Scott Andrew Zhu, Rongchan |
| contents | We derive a form of master loop equations for the lattice Yang-Mills-Higgs theory with structure group $SO(N)$, $U(N)$ or $SU(N)$. Compared to the pure Yang-Mills setting, several new operations arise. In fact, to obtain a closed recursion we must broaden the class of observables to include open Wilson lines. Our approach is based on the conditional Langevin dynamic and yields a concise proof via Itô's formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00570 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Makeenko-Migdal equations for lattice Yang-Mills-Higgs Shen, Hao Smith, Scott Andrew Zhu, Rongchan Probability Mathematical Physics We derive a form of master loop equations for the lattice Yang-Mills-Higgs theory with structure group $SO(N)$, $U(N)$ or $SU(N)$. Compared to the pure Yang-Mills setting, several new operations arise. In fact, to obtain a closed recursion we must broaden the class of observables to include open Wilson lines. Our approach is based on the conditional Langevin dynamic and yields a concise proof via Itô's formula. |
| title | Makeenko-Migdal equations for lattice Yang-Mills-Higgs |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2512.00570 |