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Vacuum Structure of the Ichimatsu-Decomposed Lattice Models

K. Itoh, M. Kato, M. Murata, H. Sawanaka, H. So

hep-latarXiv:hep-lat/0209030

Abstract

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.

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