The complete trans-series for conserved charges in the Lieb-Liniger model
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912991201460224 |
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| author | Bajnok, Zoltán Balog, János Miravitllas, Ramon Plat, Dennis le Vona, István |
| author_facet | Bajnok, Zoltán Balog, János Miravitllas, Ramon Plat, Dennis le Vona, István |
| contents | We determine the complete trans-series solution for the (non-relativistic) moments of the rapidity density in the Lieb-Liniger model. The trans-series is written explicitly in terms of a perturbative basis, which can be obtained from the already known perturbative expansion of the density by solving several ordinary differential equations. Unknown integration constants are fixed from Volin's method. We have checked that our solution satisfies the analytical consistency requirements including the newly derived resurgence relations and agrees with the high precision numerical solution. Our results also provides the full analytic trans-series for the capacitance of the coaxial circular plate capacitor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The complete trans-series for conserved charges in the Lieb-Liniger model Bajnok, Zoltán Balog, János Miravitllas, Ramon Plat, Dennis le Vona, István High Energy Physics - Theory Quantum Gases Statistical Mechanics We determine the complete trans-series solution for the (non-relativistic) moments of the rapidity density in the Lieb-Liniger model. The trans-series is written explicitly in terms of a perturbative basis, which can be obtained from the already known perturbative expansion of the density by solving several ordinary differential equations. Unknown integration constants are fixed from Volin's method. We have checked that our solution satisfies the analytical consistency requirements including the newly derived resurgence relations and agrees with the high precision numerical solution. Our results also provides the full analytic trans-series for the capacitance of the coaxial circular plate capacitor. |
| title | The complete trans-series for conserved charges in the Lieb-Liniger model |
| topic | High Energy Physics - Theory Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2504.05932 |