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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/2408.02628 |
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| _version_ | 1866910936276664320 |
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| author | Çavuşoğlu, Atakan Kozçaz, Can Tezgin, Kemal |
| author_facet | Çavuşoğlu, Atakan Kozçaz, Can Tezgin, Kemal |
| contents | We present a new perturbative/nonperturbative (P/NP) relation that applies to a broader class of genus-1 potentials, including those that possess real and complex instantons parametrized by a deformation parameter, such as polynomial and elliptic potentials. Our findings significantly extend the scope of quantum mechanical systems for which perturbation theory suffices to calculate the contributions of nonperturbative effects to energy levels, with or without the need for a boundary condition, depending on the potential. We further provide evidence for our results by predicting the corrections to the large-order behavior of the perturbative expansion for the Jacobi SD elliptic potential using the early terms of the instanton fluctuations that satisfy the P/NP relation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02628 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resurgence of deformed genus-1 curves: A novel perturbative/nonperturbative relation Çavuşoğlu, Atakan Kozçaz, Can Tezgin, Kemal High Energy Physics - Theory We present a new perturbative/nonperturbative (P/NP) relation that applies to a broader class of genus-1 potentials, including those that possess real and complex instantons parametrized by a deformation parameter, such as polynomial and elliptic potentials. Our findings significantly extend the scope of quantum mechanical systems for which perturbation theory suffices to calculate the contributions of nonperturbative effects to energy levels, with or without the need for a boundary condition, depending on the potential. We further provide evidence for our results by predicting the corrections to the large-order behavior of the perturbative expansion for the Jacobi SD elliptic potential using the early terms of the instanton fluctuations that satisfy the P/NP relation. |
| title | Resurgence of deformed genus-1 curves: A novel perturbative/nonperturbative relation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.02628 |