Phase structure of 3D image lattice gauge theories at finite temperature Original Research Article

We perform a numerical study of the phase transitions in three-dimensional image lattice gauge theories at finite temperature for image. Using the dual formulation of the models and a cluster algorithm we locate the position of the critical points and study the critical behavior across both phase transitions in details. In particular, we determine various critical indices, compute the average action and the specific heat. Our results are consistent with the two transitions being of infinite order. Furthermore, they belong to the universality class of two-dimensional image vector spin models.