SU(2) vortex configuration in Laplacian Center Gauge
Alvaro Montero
TL;DR
This paper investigates how Laplacian Center Gauge detects vortex and monopole structures in SU(2) lattice configurations, demonstrating its effectiveness in identifying vortex properties and monopole curves on vortex surfaces.
Contribution
It shows that Laplacian Center Gauge effectively reveals vortex and monopole structures in classical SU(2) vortex solutions on the lattice.
Findings
Laplacian Center Gauge cleanly identifies vortex properties.
Monopole curves are found on the vortex surface.
The method confirms the vortex content in classical solutions.
Abstract
We study how Laplacian Center Gauge identifies the vortex content of a thick SU(2) vortex configuration on the lattice. This configuration is a solution of the Yang-Mills classical equations of motion having vortex properties. We find that this gauge fixing procedure cleanly identifies the underlying vortex properties. We also study the monopole content of this configuration detected with this procedure. We obtain two monopole curves lying on the surface of the vortex.
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