Connectivities in critical two-dimensional Q-Potts Model.
Connectivities, Conformal Field Theory, Q-Potts Model
The conformal field theory has been show as a valuable asset in theoretical physics over the course of the last decades. In this work such theory was used as a way to evaluate four-point boundary connectivities in a two-dimensional model, where bonds are dictated by the Q-Potts model. For this model Q has integer values and 1 ≤ Q ≤ 4, that define unitary statistical models. In this paper we use a formal extension that Q have real values and 0 ≤ Q ≤ 4$, range were still possible to evaluate connectivities as solutions of a differential equation in conformal field theory. Such computations were made in order to obtain the universal ratio and inspect the consistency of results for $Q$ enclosed by two integers. Thereby, we were able to evaluate the universal ratio for diversified statistical models and achieve relevant results, in the sense that we showed the existence of a consistency or uniformity between the universal ratio and Q.