Loop equations for generalised eigenvalue models
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916332329500672 |
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| author | Vescovi, Edoardo Zarembo, Konstantin |
| author_facet | Vescovi, Edoardo Zarembo, Konstantin |
| contents | We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the N=2* super-Yang-Mills theory and the Hoppe model are used to illustrate our methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Loop equations for generalised eigenvalue models Vescovi, Edoardo Zarembo, Konstantin High Energy Physics - Theory We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the N=2* super-Yang-Mills theory and the Hoppe model are used to illustrate our methods. |
| title | Loop equations for generalised eigenvalue models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.13835 |