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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.15443 |
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| _version_ | 1866911458023964672 |
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| author | Bolognesi, Stefano |
| author_facet | Bolognesi, Stefano |
| contents | We show that a generalized Polyakov mechanism can lead to confinement at weak coupling in $3+1$ dimensions when the theory is placed in a non-trivial, spatially varying magnetic field background. Depending on the magnitude of the field and the length scale of its spatial variation, the "dual" Schwinger mechanism for monopole-antimonopole pair creation may or may not be operative. At the threshold, monopole loops in the Euclidean description develop an almost flat direction. In this regime, confinement arises in a way similar to the $2+1$ dimensional Polyakov mechanism and the monopoles and antimonopoles are effectively replaced by deconfined "bits" of a monopole loop. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15443 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Confinement by Monopole Loops in Inhomogeneous Magnetic Field Bolognesi, Stefano High Energy Physics - Theory We show that a generalized Polyakov mechanism can lead to confinement at weak coupling in $3+1$ dimensions when the theory is placed in a non-trivial, spatially varying magnetic field background. Depending on the magnitude of the field and the length scale of its spatial variation, the "dual" Schwinger mechanism for monopole-antimonopole pair creation may or may not be operative. At the threshold, monopole loops in the Euclidean description develop an almost flat direction. In this regime, confinement arises in a way similar to the $2+1$ dimensional Polyakov mechanism and the monopoles and antimonopoles are effectively replaced by deconfined "bits" of a monopole loop. |
| title | Confinement by Monopole Loops in Inhomogeneous Magnetic Field |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.15443 |