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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.19043 |
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| _version_ | 1866909311173656576 |
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| author | Ivanovskiy, Vyacheslav Komatsu, Shota Mishnyakov, Victor Terziev, Nikolay Zaigraev, Nikita Zarembo, Konstantin |
| author_facet | Ivanovskiy, Vyacheslav Komatsu, Shota Mishnyakov, Victor Terziev, Nikolay Zaigraev, Nikita Zarembo, Konstantin |
| contents | We study correlation functions on the Coulomb branch of planar $\mathcal{N} = 4$ super-Yang- Mills theory (SYM), and their relationship with integrability, the operator product expansion (OPE), the sum rule, the large charge expansion, and holography. First, we compute one-point functions of arbitrary scalar operators at weak coupling and derive a compact spin-chain representation. We next study the two-point functions of chiral primaries at one loop and find that the radius of convergence of OPE in position space is infinite. We estimate the asymptotic growth of the OPE data based on this finding. Finally, we propose a concrete nonperturbative formula that connects the correlation functions on the Coulomb branch with the correlation functions with large charge insertions at the conformal point and provide a holographic interpretation based on a large D3-brane in AdS. The formula extends the known connection between the large charge sector and the Coulomb branch for rank-1 theories to the large $N$ limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vacuum Condensates on the Coulomb Branch Ivanovskiy, Vyacheslav Komatsu, Shota Mishnyakov, Victor Terziev, Nikolay Zaigraev, Nikita Zarembo, Konstantin High Energy Physics - Theory We study correlation functions on the Coulomb branch of planar $\mathcal{N} = 4$ super-Yang- Mills theory (SYM), and their relationship with integrability, the operator product expansion (OPE), the sum rule, the large charge expansion, and holography. First, we compute one-point functions of arbitrary scalar operators at weak coupling and derive a compact spin-chain representation. We next study the two-point functions of chiral primaries at one loop and find that the radius of convergence of OPE in position space is infinite. We estimate the asymptotic growth of the OPE data based on this finding. Finally, we propose a concrete nonperturbative formula that connects the correlation functions on the Coulomb branch with the correlation functions with large charge insertions at the conformal point and provide a holographic interpretation based on a large D3-brane in AdS. The formula extends the known connection between the large charge sector and the Coulomb branch for rank-1 theories to the large $N$ limit. |
| title | Vacuum Condensates on the Coulomb Branch |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.19043 |