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

被引：1
|
作者：
Granet, Etienne [1 ]
机构：
[1] Univ Chicago, Kadanoff Ctr Theoret Phys, 5640 South Ellis Ave, Chicago, IL 60637 USA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2022年 / 55卷 / 27期
关键词：
pointlike interaction; regularization; Lieb-Liniger model; BOSE-GAS; POTENTIALS; OPERATORS;
D O I：
10.1088/1751-8121/ac73c4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 Hermitian 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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页数：22
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