Phase phenomena in the 3D Ising gauge model

In this paper phase phenomena in the three-dimensional Ising gauge model were studied. Using the Monte Carlo simulation method, it was shown that the model possesses a phase transition. To determine the critical temperature of the model several order parameters were considered: plaque magnetization, Wilson loops and the mass of the lattice defect (vacancy). Considering the Wilson loops of area 2 of different spatial forms, we have found the energy difference between them in the vicinity of the phase transition. It was also shown that the mass of the defect has a peak near the phase transition and that this peak's position tends to the critical point with increasing lattice volume.