1 Vacuum Structure of the Ichimatsu-Decomposed Lattice Models

Katsumi Itoh, Mitsuhiro Kato, M. Murata C, Hideyuki Sawanaka, Hiroto So · 2002

We proposed an `Ichimatsu'-decomposed lattice gauge theory with fermionic symmetries. The vacuum structures of the gauge sector with two coupling constants ($\\beta_p,\\beta_c$) are investigated for 3-dimensional Z$_2$ and 4-dimensional SU(2) cases using mean-field approximation and numerical simulation. We found two phases on the ($\\beta_p,\\beta_c$) phase diagram for 3-dim. Z$_2$ case, while the diagram is a single phase for the latter.

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