Failure of the large-N expansion in a Bosonic Tensor Model
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917943708745728 |
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| author | Herderschee, Aidan Winer, Michael |
| author_facet | Herderschee, Aidan Winer, Michael |
| contents | We study the tensor model generalization of the quantum $p$-spherical model in the large-$N$ limit. While the tensor model has the same large-$N$ expansion as the disordered quantum $p$-spherical model, its ground state is superextensive, in contradiction with large-$N$ perturbation theory. Therefore, the large-$N$ expansion of this model catastrophically fails at arbitrarily large-$N$, without any obvious signal in perturbation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06896 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Failure of the large-N expansion in a Bosonic Tensor Model Herderschee, Aidan Winer, Michael High Energy Physics - Theory Statistical Mechanics We study the tensor model generalization of the quantum $p$-spherical model in the large-$N$ limit. While the tensor model has the same large-$N$ expansion as the disordered quantum $p$-spherical model, its ground state is superextensive, in contradiction with large-$N$ perturbation theory. Therefore, the large-$N$ expansion of this model catastrophically fails at arbitrarily large-$N$, without any obvious signal in perturbation theory. |
| title | Failure of the large-N expansion in a Bosonic Tensor Model |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2410.06896 |