Fine tuned vortices in lattice SU(2) gluodynamics

TL;DR

This paper investigates the action associated with center vortices in SU(2) lattice gauge theory, revealing a fine-tuned balance between action suppression and entropy that supports vortex relevance in confinement.

Contribution

It provides the first detailed measurement of vortex action scaling in SU(2) lattice gauge theory, showing a fine-tuned balance between surface action and entropy.

Findings

Vortex action scales as A/a^2, with A being the physical area.

The excess action per vortex is approximately constant in lattice units.

Surface action suppression is balanced by entropy, supporting vortex relevance.

Abstract

We report measurements of the action associated with center vortices in SU(2) pure lattice gauge theory. In the lattice units the excess of the action on the plaquettes belonging to the vortex is approximately a constant, independent on the lattice spacing 'a'. Therefore the action of the center vortex is of order 'A/a^2', where 'A' is its area. Since the area 'A' is known to scale in the physical units, the measurements imply that the suppression due to the surface action is balanced, or fine tuned to the entropy factor which is to be an exponential of 'A/a^2'.