Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
Abstract
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.
Keywords
Cite
@article{arxiv.1608.07548,
title = {Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models},
author = {Alvise Bastianello and Andrea De Luca and Giuseppe Mussardo},
journal= {arXiv preprint arXiv:1608.07548},
year = {2017}
}
Comments
46 pages, 19 figures