Cartan Fluxes in $SU(3)$ Lattice Gauge Theory
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| Format: | Preprint |
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2026
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| _version_ | 1866915971588947968 |
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| author | Mendes, Tereza Oxman, Luis E. Simões, Gustavo M. Tonhon, Rafael C. S. |
| author_facet | Mendes, Tereza Oxman, Luis E. Simões, Gustavo M. Tonhon, Rafael C. S. |
| contents | We propose and analyze a new method of detecting center vortices and monopoles in lattice Yang-Mills theory. This procedure is sensitive to the intrinsic degeneracy of the center charges, which play a crucial role in how these topological objects interact and correlate with one another. Our approach is based on fixing the Maximal Abelian gauge (MAG) and decomposing the link configuration in a suitable way to look for so-called Cartan fluxes. Our discussion is general for $SU(N)$ gauge theory, but we focus our applications on the $SU(3)$ case. For the $SU(2)$ case, our proposed parametrization is equivalent to the usual one. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_25003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cartan Fluxes in $SU(3)$ Lattice Gauge Theory Mendes, Tereza Oxman, Luis E. Simões, Gustavo M. Tonhon, Rafael C. S. High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We propose and analyze a new method of detecting center vortices and monopoles in lattice Yang-Mills theory. This procedure is sensitive to the intrinsic degeneracy of the center charges, which play a crucial role in how these topological objects interact and correlate with one another. Our approach is based on fixing the Maximal Abelian gauge (MAG) and decomposing the link configuration in a suitable way to look for so-called Cartan fluxes. Our discussion is general for $SU(N)$ gauge theory, but we focus our applications on the $SU(3)$ case. For the $SU(2)$ case, our proposed parametrization is equivalent to the usual one. |
| title | Cartan Fluxes in $SU(3)$ Lattice Gauge Theory |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.25003 |