We proposed an `Ichimatsu'-decomposed lattice gauge theory with fermionic symmetries. The vacuum structures of the gauge sector with two coupling constants (βp,βc) are investigated for 3-dimensional Z2 and 4-dimensional SU(2) cases using mean-field approximation and numerical simulation. We found two phases on the (βp,βc) phase diagram for 3-dim. Z2 case, while the diagram is a single phase for the latter.
@article{arxiv.hep-lat/0209030,
title = {Vacuum Structure of the Ichimatsu-Decomposed Lattice Models},
author = {K. Itoh and M. Kato and M. Murata and H. Sawanaka and H. So},
journal= {arXiv preprint arXiv:hep-lat/0209030},
year = {2009}
}