Susskind's continuous-time fermions, with two flavours, can be latticized using a one-sided time derivative. We are presently investigating the interacting case, where we hope to find the onset at finite μ at the right place due to the reduced number of flavours. As for these fermions there is only a discrete chiral symmetry left over, the lightness of pions in the broken phase has to be investigated.
@article{arxiv.hep-lat/9501012,
title = {QCD AT FINITE BARYON DENSITY WITH t-ASYMMETRIC FERMIONS},
author = {E. Mendel and L. Polley},
journal= {arXiv preprint arXiv:hep-lat/9501012},
year = {2016}
}