title: Exact solution of a Z(4) gauge Potts model on planar lattices.
abstract: The exact solution of a general Z(4) gauge Potts model with a single and double plaquette representation of the action is found on a subspace of gauge-coupling parameters on the square and triangular lattices. The two Ising-type critical lines of a second-order phase transition for the model on a square lattice are found. For the model on a triangular lattice the two critical surfaces of an Ising-type and two nontrivial lines of a second-order phase transition with different critical behavior than on the critical surfaces are found. It is shown that a two-dimensional (2D) general Z(4) gauge Potts model with single and double plaquette representation of the action and a 2D spin-3 / 2 Ising model belong to the same universality class.
authors.affiliation: Department of Theoretical Physics, Yerevan Physics Institute, Alikhanian Brothers 2, 375036 Yerevan, Armenia.
authors.forename: N S
authors.initials: NS
authors.lastname: Ananikian
authors.forename: R G
authors.initials: RG
authors.lastname: Ghulghazaryan
authors.forename: N S
authors.initials: NS
authors.lastname: Izmailian
authors.forename: R
authors.initials: R
authors.lastname: Shcherbakov