The complete trans-series for conserved charges in the Lieb-Liniger model, by Zoltán Bajnok, János Balog, Ramon Miravitllas, Dennis le Plat, István Vona

SciPost Physics Home Authoring Refereeing Submit a manuscript About The complete trans-series for conserved charges in the Lieb-Liniger model Zoltán Bajnok, János Balog, Ramon Miravitllas, Dennis le Plat, István Vona SciPost Phys. 20, 096 (2026) · published 1 April 2026 doi: 10.21468/SciPostPhys.20.4.096 pdf BiBTeX RIS Submissions/Reports Abstract 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. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.4.096TI - The complete trans-series for conserved charges in the Lieb-Liniger modelPY - 2026/04/01UR - https://scipost.org/SciPostPhys.20.4.096JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 4SP - 096A1 - Bajnok, ZoltánAU - Balog, JánosAU - Miravitllas, RamonAU - le Plat, DennisAU - Vona, IstvánAB - 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.ER - × @Article{10.21468/SciPostPhys.20.4.096, title={{The complete trans-series for conserved charges in the Lieb-Liniger model}}, author={Zoltán Bajnok and János Balog and Ramon Miravitllas and Dennis le Plat and István Vona}, journal={SciPost Phys.}, volume={20}, pages={096}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.4.096}, url={https://scipost.org/10.21468/SciPostPhys.20.4.096},} Ontology / Topics See full Ontology or Topics database. Conserved charges Integrability/integrable models Quantum gases Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Zoltán Bajnok, 1 János Balog, 1 Ramon Miravitllas, 1 Dennis le Plat, 1 2 István Vona 1 Wigner Fizikai Kutatóközpont / MTA Wigner Research Centre for Physics 2 Eötvös Loránd Tudományegyetem / Eötvös Loránd University [ELTE] Funders for the research work leading to this publication Alexander von Humboldt-Stiftung / Alexander von Humboldt Foundation Nemzeti Kutatási Fejlesztési és Innovációs Hivatal Nemzeti Kutatási, Fejlesztési és Innovációs Hivatal / National Research, Development and Innovation Office [NKFIH]