Abstract
We derive the large-particle-number limit of the Bethe equations for the ground state of the attractive one-dimensional Bose gas (Lieb-Liniger model) on a ring and solve it for arbitrary coupling. We show that the ground state of this system can be mapped to the large-N saddle point of Euclidean Yang-Mills theory on a two-sphere with a U(N) gauge group, and the phase transition that interpolates between the homogeneous and solitonic regime is dual to the Douglas-Kazakov confinement-deconfinement phase transition.
Dokumententyp: | Zeitschriftenartikel |
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Fakultät: | Physik |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 530 Physik |
ISSN: | 2469-9926 |
Sprache: | Englisch |
Dokumenten ID: | 47516 |
Datum der Veröffentlichung auf Open Access LMU: | 27. Apr. 2018, 08:13 |
Letzte Änderungen: | 08. Mai 2024, 09:25 |