Fractional instantons and Confinement: first results on a $T_2\times R^2$ roadmap
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916613037490176 |
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| author | Bergner, Georg González-Arroyo, Antonio Soler, Ivan |
| author_facet | Bergner, Georg González-Arroyo, Antonio Soler, Ivan |
| contents | We report results obtained for SU(2) Yang-Mills theory on a four dimensional torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to interpolate from a region in which semiclassical methods can be applied (for small 2-torus size) to the standard infinite volume case. Our simulations at small torus sizes show how the topological charge and the string tension result from a gas of vortex-like fractional instantons. As the size becomes larger the density increases and the separation of structures tends to a constant in agreement with the fractional instanton liquid model picture of the Yang-Mills vacuum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional instantons and Confinement: first results on a $T_2\times R^2$ roadmap Bergner, Georg González-Arroyo, Antonio Soler, Ivan High Energy Physics - Lattice We report results obtained for SU(2) Yang-Mills theory on a four dimensional torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to interpolate from a region in which semiclassical methods can be applied (for small 2-torus size) to the standard infinite volume case. Our simulations at small torus sizes show how the topological charge and the string tension result from a gas of vortex-like fractional instantons. As the size becomes larger the density increases and the separation of structures tends to a constant in agreement with the fractional instanton liquid model picture of the Yang-Mills vacuum. |
| title | Fractional instantons and Confinement: first results on a $T_2\times R^2$ roadmap |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2502.09463 |