Exact solution of a 1D quantum many-body system with momentum-dependent interactions
2004 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 37, no 16, 4579-4592 p.Article in journal (Refereed) Published
We discuss a ID quantum 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 show that the generalized model with distinguishable particles remains exactly solvable by the (coordinate) Bethe ansatz. Our solution provides a generalization of the above mentioned boson-fermion duality to particles with arbitrary exchange statistics characterized by any irreducible representation of the permutation group.
Place, publisher, year, edition, pages
2004. Vol. 37, no 16, 4579-4592 p.
delta-function interaction, massive thirring model, dimension, gas, particles, bosons
IdentifiersURN: urn:nbn:se:kth:diva-23415DOI: 10.1088/0305-4470/37/16/008ISI: 000221430700008ScopusID: 2-s2.0-2442488909OAI: oai:DiVA.org:kth-23415DiVA: diva2:342113
QC 201005252010-08-102010-08-102011-08-30Bibliographically approved