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arXiv · 2112.14684

Regularization of a strong-weak duality between pointlike interactions in one dimension

Etienne Granet
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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.

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Etienne Granet. 2021-12-29. Regularization of a strong-weak duality between pointlike interactions in one dimension. https://doi.org/10.1088/1751-8121%2Fac73c4

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