Center-vortex loops with one selfintersection

TL;DR

This paper studies the 2D behavior of self-intersecting center-vortex loops in SU(2) Yang-Mills theory, revealing an evolution towards order that may relate to high-temperature superconductivity in 2D materials.

Contribution

It introduces a curve-shrinking evolution model for vortex loops in 2D, linking topological stabilization to the renormalization-group flow in Yang-Mills theory.

Findings

System evolves into a highly ordered state at finite noise level

Potential connection between vortex loop behavior and high T_c superconductivity

Provides a new perspective on topological stabilization in gauge theories

Abstract

We investigate the 2D behavior of one-fold selfintersecting, topologically stabilized center-vortex loops in the confining phase of an SU(2) Yang-Mills theory. This coarse-graining is described by curve-shrinking evolution of center-vortex loops immersed in a flat 2D plane driving the renormalization-group flow of an effective `action'. We observe that the system evolves into a highly ordered state at finite noise level, and we speculate that this feature is connected with 2D planar high $T_c$ superconductivity in $FeAs$ systems.