The Behavior of Vortex Loops in the 3-d XY Model

TL;DR

This paper investigates vortex loops in the 3-d XY model and finds that the phase transition is driven by the formation of percolating vortex loops.

Contribution

It demonstrates that the phase transition in the 3-d XY model is caused by percolating vortex loops, providing insight into the topological nature of the transition.

Findings

Phase transition is caused by percolating vortex loops.

Vortex loops play a crucial role in the 3-d XY model transition.

Percolation of vortex loops correlates with the phase change.

Abstract

The behavior of vortex loops is studied in the 3-d XY model. It is found that the phase transtiton of the 3-d XY model is caused by percolating vortex loops.