In this paper we study a suitable limit of integrable QFT with the aim to identify continuous non-relativistic integrable models with local interactions. This limit amounts to sending to infinity the speed of light c but simultaneously adjusting the coupling constant g of the quantum field theories in such a way to keep finite the energies of the various excitations. The QFT considered here are Toda field theories and the O(N) non-linear sigma model. In both cases the resulting non-relativistic integrable models consist only of Lieb-Liniger models, which are fully decoupled for the Toda theories while symmetrically coupled for the O(N) model. These examples provide explicit evidence of the universality and ubiquity of the Lieb-Liniger models and, at the same time, suggest that these models may exhaust the list of possible non-relativistic integrable theories of bosonic particles with local interactions.
|Titolo:||Non relativistic limit of integrable QFT and Lieb-Liniger models|
|Autori:||Bastianello, A.; De Luca, A.; Mussardo, G.|
|Rivista:||JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT|
|Data di pubblicazione:||2016|
|Digital Object Identifier (DOI):||10.1088/1742-5468/aa4f98|
|Appare nelle tipologie:||1.1 Journal article|