Campos multivalorados e operadores de desordem

Abstract

In this work, we seek to establish the connection between multivalued fields and disorder operators. We start from the two-dimensional Ising model to introduce the disorder operators into the lattice and then demonstrate how they emerge from the non-trivial vacuum of a continuous theory. Subsequently, we approach the generalization of the disorder operators from the continuous point of view, where the operators are obtained from a deformation of the Lagrangian and the restriction of the global symmetry to an area. Finally, we investigate the multivalued fields and propose a way to define them from the brane formalism, to finally consolidate the connection between multivalued fields and disorder operators.