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Monte Carlo Simulation of 3-d Lattice Z4 Gauge-Z2 Higgs Theory

Phase diagram for 3-dimensional lattice Z4 gauge-Z2 Higgs coupling system is constructed using Monte Carlo method (heat bath method). The result are in agreement with the features predicted by Fradkin and shenker[1]. To find accurate positions of the transition points we proposed a method of thermal cycles recooling near the transition points.