2004/01/31 by Harald Grosse, Edwin Langmann, Cornelius Paufler · 2 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #hep-th #math-ph #math.MP #msc:35J10 #msc:81Q05 #msc:82B23 #nlin.SI
paper · pdf · doi:10.1088/0305-4470/37/16/008
published as J.Phys.A37:4579,2004 · 12 pages; mistake corrected changing one of our conclusions: the generalized model with distinguishable particles is not exactly solvable by Bethe Ansatz
openalex publication_date 2004/04/05 · arxiv created 2004/05/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We discuss a 1D many-body model of distinguishable particles with local, momentum dependent two-body interactions. We show that the restriction of this model to fermions corresponds to the non-relativistic limit of the massive Thirring model. This fermion model can be solved exactly by a mapping to the 1D boson gas with inverse coupling constant. We provide evidence that this mapping is the non-relativistic limit of the duality between the massive Thirring model and the quantum sine-Gordon model. We also investigate the question if the generalization of this model to distinguishable particles is exactly solvable by the coordinate Bethe ansatz and find that this is not the case.