# Realizing discontinuous wave functions perturbatively

@inproceedings{Granet2021RealizingDW, title={Realizing discontinuous wave functions perturbatively}, author={Etienne Granet and Bruno Bertini and Fabian H L Essler}, year={2021} }

In one dimensional quantum gases there is a well known “duality” between hard core bosons and non-interacting fermions. However, at the field theory level, no exact duality connecting strongly interacting bosons to weakly interacting fermions is known. Here we propose a solution to this long standing problem. Our derivation relies on regularizing the only point-like interaction between fermions in 1D that induces a discontinuity in the wave function proportional to its derivative. In contrast… Expand

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