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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.10865 |
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| _version_ | 1866912589560152064 |
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| author | Hashimoto, Koji Kyo, Koichi Murata, Masaki Ogiwara, Gakuto Tanahashi, Norihiro |
| author_facet | Hashimoto, Koji Kyo, Koichi Murata, Masaki Ogiwara, Gakuto Tanahashi, Norihiro |
| contents | We study the instanton effect on the gluon scattering amplitudes at strong coupling and large $N$ for the ${\cal N}=4$ supersymmetric Yang-Mills theory. According to Alday and Maldacena, the gluon scattering amplitude corresponds holographically to the area of a worldsheet minimal surface in the T-dual AdS${}_5$ geometry. The Yang-Mills instanton introduces an instanton D-brane in the geometry, with which a particular boundary condition for the minimal surface is imposed. We show that the minimal surface undergoes a topology change depending on the size and the gluon momenta, and that the instanton amplitude exhibits a characteristic dependence on gluon momenta. More specifically, we find that when the fixed instanton size modulus $ρ$ is larger than ${\cal O}(\sqrtλ/E)$ where $λ$ is the 't Hooft coupling and $E$ is the typical momentum of the scattering gluon, due to the topology change of the worldsheet minimal surface, the instanton amplitude is exponentially enhanced as $\exp(ρE)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gluon scattering amplitudes with instantons and minimal surfaces with topology change Hashimoto, Koji Kyo, Koichi Murata, Masaki Ogiwara, Gakuto Tanahashi, Norihiro High Energy Physics - Theory We study the instanton effect on the gluon scattering amplitudes at strong coupling and large $N$ for the ${\cal N}=4$ supersymmetric Yang-Mills theory. According to Alday and Maldacena, the gluon scattering amplitude corresponds holographically to the area of a worldsheet minimal surface in the T-dual AdS${}_5$ geometry. The Yang-Mills instanton introduces an instanton D-brane in the geometry, with which a particular boundary condition for the minimal surface is imposed. We show that the minimal surface undergoes a topology change depending on the size and the gluon momenta, and that the instanton amplitude exhibits a characteristic dependence on gluon momenta. More specifically, we find that when the fixed instanton size modulus $ρ$ is larger than ${\cal O}(\sqrtλ/E)$ where $λ$ is the 't Hooft coupling and $E$ is the typical momentum of the scattering gluon, due to the topology change of the worldsheet minimal surface, the instanton amplitude is exponentially enhanced as $\exp(ρE)$. |
| title | Gluon scattering amplitudes with instantons and minimal surfaces with topology change |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.10865 |