Vortex-Line Percolation in the Three-Dimensional Complex Ginzburg-Landau Model

Details Vortex-Line Percolation in the Three-Dimensional Complex Ginzburg-Landau Model Vortex-Line Percolation in the Three-Dimensional Complex Ginzburg-Landau Model

2005-09-23

arxiv.org/abs/hep-lat/0509105v1

PoS LAT2005 (2005) 247

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 4 fig., talk given at Lattice 2005 (Spin and Higgs models) Dublin

Scientific paper

We study the phase transition of the three-dimensional complex |psi|^4 theory by considering the geometrically defined 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 find that different definitions 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.

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