Condensation of vortices in the X-Y model in 3d: a disorder parameter
G. Di Cecio, A. Di Giacomo, G. Paffuti, M. Trigiante

TL;DR
This paper introduces a disorder parameter to detect vortex condensation in the 3D X-Y model, validated through numerical lattice simulations, offering a new tool for understanding phase transitions involving vortices.
Contribution
The paper develops and tests a novel disorder parameter that signals vortex condensation in the 3D X-Y model, advancing methods for studying topological phase transitions.
Findings
Disorder parameter successfully signals vortex condensation.
Numerical simulations confirm the effectiveness of the parameter.
Provides new insights into vortex behavior in 3D systems.
Abstract
A disorder parameter is constructed which signals the condensation of vortices. The construction is tested by numerical simulations on lattice.
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