Speaker
Description
In this talk, I discuss discrete scale invariance in one-dimensional many-body problems of identical particles. I first classify all possible scale-invariant two-body contact interactions that respect unitarity, Galilean invariance, permutation invariance, and translation invariance in one dimension. By using these contact interactions, I then construct models of $n(\geq3)$ identical particles that exhibit breakdown of continuous scale invariance to discrete scale invariance. Just as in the Efimov effect, these models enjoy a geometric sequence of $n$-body bound states and log-periodicity of $n$-body S-matrix elements for arbitrary $n\geq3$. I also discuss that these results can be applied equally well to both bosons and fermions by using boson-fermion duality. This talk is based on the paper [1].
[1] S. Ohya, Phys. Rev. A 105 (2022) 033312, arXiv:2110.09723 [quant-ph].
