Regularization of a strong-weak duality between pointlike interactions in one dimension
Mathematical Physics
2022-06-16 v1 Quantum Gases
math.MP
Abstract
Pointlike interactions between bosons in 1D are related to pointlike interactions between fermions through the Girardeau mapping. This mapping is a strong-weak duality since the coupling constants in the bosonic and fermionic cases are inversely proportional to each other. We present a regularization of these pointlike interactions that preserves the strong-weak duality, contrary to previously known regularizations. This is proven rigorously. This allows one to use this duality perturbatively and we illustrate it in the Lieb-Liniger model at strong coupling.
Keywords
Cite
@article{arxiv.2112.14684,
title = {Regularization of a strong-weak duality between pointlike interactions in one dimension},
author = {Etienne Granet},
journal= {arXiv preprint arXiv:2112.14684},
year = {2022}
}
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20 pages