Vacuum structure of the Ichimatsu-decomposed lattice models

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 4dimensional 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.

Fermionic symmetry in Ichimatsu-decomposed lattice models

“…If the fermionic symmetry is really related to the expected SUSY, the continuum limit is to be studied with the cell and pipe mixed model. First result of pure gauge system with the Ichimatsu structure is reported in [4].…”