masterThesis
Conectividades no Modelo de Q-Potts crítico bidimensional
Fecha
2020-03-12Registro en:
NOGUEIRA, Bruno Henrique Sousa. Conectividades no Modelo de Q-Potts crítico bidimensional. 2020. 67f. Dissertação (Mestrado em Física) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2020.
Autor
Nogueira, Bruno Henrique Sousa
Resumen
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 1 ≤ 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.