Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models

DOI10.1007/S10955-019-02413-1zbMath1435.82008arXiv1905.09575OpenAlexW3122226830MaRDI QIDQ2283167

Marcos Mariño, Tomás Reis

Publication date: 30 December 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09575

zbMATH Keywords

Bethe ansatzquantum gasesnonperturbative effects

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of superconductors (82D55) Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of gases (82D05)

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Cites Work

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• Quantum integrability and functional equations: applications to the spectral problem of AdS/CFT and two-dimensional sigma models
• Introduction to the Statistical Physics of Integrable Many-body Systems
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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