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Vacuum Structure of the Ichimatsu-Decomposed Lattice Models

arXiv:hep-lat/0209030 · doi:10.1016/S0920-5632(03)80482-6

Abstract

We proposed an `Ichimatsu'-decomposed lattice gauge theory with fermionic symmetries. The vacuum structures of the gauge sector with two coupling constants ($β_p,β_c$) 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 ($β_p,β_c$) phase diagram for 3-dim. Z$_2$ case, while the diagram is a single phase for the latter.

3 pages, 6 figures, Lattice2002(higgssusy)