Elliptical Wilson loops in ${\cal N}=4$ Super Yang-Mills
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908535838736384 |
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| author | Azevedo, Thales Ballon-Bayona, Alfonso Pazito, Leonardo |
| author_facet | Azevedo, Thales Ballon-Bayona, Alfonso Pazito, Leonardo |
| contents | We investigate elliptical Wilson loops in ${\cal N}=4$ Super Yang--Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form of a series in the eccentricity parameter. At weak coupling, we use perturbation theory in ${\cal N}=4$ Super Yang--Mills. At strong coupling, we use the AdS/CFT correspondence, which maps the Wilson loop to the minimal-area worldsheet of an open string in AdS space. We present a novel perturbative method to solve the Nambu--Goto equations allowing us to describe the minimal surface in terms of a coordinate parameterization in Euclidean AdS$_3$. Our results for the regularized area agree with those obtained by Dekel in [1] based on the Polyakov action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04355 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elliptical Wilson loops in ${\cal N}=4$ Super Yang-Mills Azevedo, Thales Ballon-Bayona, Alfonso Pazito, Leonardo High Energy Physics - Theory High Energy Physics - Phenomenology We investigate elliptical Wilson loops in ${\cal N}=4$ Super Yang--Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form of a series in the eccentricity parameter. At weak coupling, we use perturbation theory in ${\cal N}=4$ Super Yang--Mills. At strong coupling, we use the AdS/CFT correspondence, which maps the Wilson loop to the minimal-area worldsheet of an open string in AdS space. We present a novel perturbative method to solve the Nambu--Goto equations allowing us to describe the minimal surface in terms of a coordinate parameterization in Euclidean AdS$_3$. Our results for the regularized area agree with those obtained by Dekel in [1] based on the Polyakov action. |
| title | Elliptical Wilson loops in ${\cal N}=4$ Super Yang-Mills |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.04355 |