出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We study the phase transition of the three-dimensional complex jyj4 theory by considering the
geometrically dened vortex-loop network as well as the magnetic properties of the system in
the vicinity of the critical point. Using high-precision Monte Carlo techniques we examine an
alternative formulation of the geometrical excitations in relation to the global O(2)-symmetry
breaking, and check if both of them exhibit the same critical behavior leading to the same critical
exponents and therefore to a consistent description of the phase transition. Different percolation
observables are taken into account and compared with each other. We nd that different denitions
of constructing the vortex-loop network lead to different results in the thermodynamic limit,
and the percolation thresholds do not coincide with the thermodynamic phase transition point.
