Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910773378285568 |
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| author | Shen, Hao Smith, Scott A. Zhu, Rongchan |
| author_facet | Shen, Hao Smith, Scott A. Zhu, Rongchan |
| contents | In this paper, we prove the convergence of the discrete Makeenko-Migdal equations for the Yang-Mills model on $(\varepsilon \mathbf{Z})^{2}$ to their continuum counterparts on the plane, in an appropriate sense. The key step in the proof is identifying the limits of the contributions from deformations as the area derivatives of the Wilson loop expectations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum Shen, Hao Smith, Scott A. Zhu, Rongchan Mathematical Physics Probability In this paper, we prove the convergence of the discrete Makeenko-Migdal equations for the Yang-Mills model on $(\varepsilon \mathbf{Z})^{2}$ to their continuum counterparts on the plane, in an appropriate sense. The key step in the proof is identifying the limits of the contributions from deformations as the area derivatives of the Wilson loop expectations. |
| title | Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2412.15422 |